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Finding the Third Proportional to 508,735 and 787,372

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Solution

The third proportional to 508,735 and 787,372 is: 1,218,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,735 : 787,372 = 787,372 : x
  2. Step 2: Convert to fraction form
    508,735/787,372 = 787,372/x
  3. Step 3: Cross multiply
    508,735x = 787,372 × 787,372
  4. Step 4: Simplify right side
    508,735x = 619,954,666,384
  5. Step 5: Solve for x
    x = 619,954,666,384/508,735
  6. Step 6: Final answer
    x = 1,218,620.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.