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Finding the Third Proportional to 516,468 and 754,882

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Solution

The third proportional to 516,468 and 754,882 is: 1,103,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,468 : 754,882 = 754,882 : x
  2. Step 2: Convert to fraction form
    516,468/754,882 = 754,882/x
  3. Step 3: Cross multiply
    516,468x = 754,882 × 754,882
  4. Step 4: Simplify right side
    516,468x = 569,846,833,924
  5. Step 5: Solve for x
    x = 569,846,833,924/516,468
  6. Step 6: Final answer
    x = 1,103,353.61

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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.