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Finding the Third Proportional to 516,699 and 754,632

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Solution

The third proportional to 516,699 and 754,632 is: 1,102,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,699 : 754,632 = 754,632 : x
  2. Step 2: Convert to fraction form
    516,699/754,632 = 754,632/x
  3. Step 3: Cross multiply
    516,699x = 754,632 × 754,632
  4. Step 4: Simplify right side
    516,699x = 569,469,455,424
  5. Step 5: Solve for x
    x = 569,469,455,424/516,699
  6. Step 6: Final answer
    x = 1,102,129.97

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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.