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Finding the Third Proportional to 516,694 and 754,624

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Solution

The third proportional to 516,694 and 754,624 is: 1,102,117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,694 : 754,624 = 754,624 : x
  2. Step 2: Convert to fraction form
    516,694/754,624 = 754,624/x
  3. Step 3: Cross multiply
    516,694x = 754,624 × 754,624
  4. Step 4: Simplify right side
    516,694x = 569,457,381,376
  5. Step 5: Solve for x
    x = 569,457,381,376/516,694
  6. Step 6: Final answer
    x = 1,102,117.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.