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Finding the Third Proportional to 506,351 and 762,767

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Solution

The third proportional to 506,351 and 762,767 is: 1,149,031.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,351 : 762,767 = 762,767 : x
  2. Step 2: Convert to fraction form
    506,351/762,767 = 762,767/x
  3. Step 3: Cross multiply
    506,351x = 762,767 × 762,767
  4. Step 4: Simplify right side
    506,351x = 581,813,496,289
  5. Step 5: Solve for x
    x = 581,813,496,289/506,351
  6. Step 6: Final answer
    x = 1,149,031.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.