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Finding the Third Proportional to 577,384,608.56 and 834,221,232.56

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Solution

The third proportional to 577,384,608.56 and 834,221,232.56 is: 1,205,305,881.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,384,608.56 : 834,221,232.56 = 834,221,232.56 : x
  2. Step 2: Convert to fraction form
    577,384,608.56/834,221,232.56 = 834,221,232.56/x
  3. Step 3: Cross multiply
    577,384,608.56x = 834,221,232.56 × 834,221,232.56
  4. Step 4: Simplify right side
    577,384,608.56x = 695,925,064,858,096,768
  5. Step 5: Solve for x
    x = 695,925,064,858,096,768/577,384,608.56
  6. Step 6: Final answer
    x = 1,205,305,881.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.