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Finding the Third Proportional to 516,056 and 797,414

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Solution

The third proportional to 516,056 and 797,414 is: 1,232,170.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,056 : 797,414 = 797,414 : x
  2. Step 2: Convert to fraction form
    516,056/797,414 = 797,414/x
  3. Step 3: Cross multiply
    516,056x = 797,414 × 797,414
  4. Step 4: Simplify right side
    516,056x = 635,869,087,396
  5. Step 5: Solve for x
    x = 635,869,087,396/516,056
  6. Step 6: Final answer
    x = 1,232,170.71

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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.