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Finding the Third Proportional to 441,298.28 and 952,580.56

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Solution

The third proportional to 441,298.28 and 952,580.56 is: 2,056,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,298.28 : 952,580.56 = 952,580.56 : x
  2. Step 2: Convert to fraction form
    441,298.28/952,580.56 = 952,580.56/x
  3. Step 3: Cross multiply
    441,298.28x = 952,580.56 × 952,580.56
  4. Step 4: Simplify right side
    441,298.28x = 907,409,728,052.82
  5. Step 5: Solve for x
    x = 907,409,728,052.82/441,298.28
  6. Step 6: Final answer
    x = 2,056,227.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.