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Finding the Third Proportional to 454,584 and 695,718

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Solution

The third proportional to 454,584 and 695,718 is: 1,064,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,584 : 695,718 = 695,718 : x
  2. Step 2: Convert to fraction form
    454,584/695,718 = 695,718/x
  3. Step 3: Cross multiply
    454,584x = 695,718 × 695,718
  4. Step 4: Simplify right side
    454,584x = 484,023,535,524
  5. Step 5: Solve for x
    x = 484,023,535,524/454,584
  6. Step 6: Final answer
    x = 1,064,761.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.