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Finding the Third Proportional to 516,080 and 797,448

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Solution

The third proportional to 516,080 and 797,448 is: 1,232,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,080 : 797,448 = 797,448 : x
  2. Step 2: Convert to fraction form
    516,080/797,448 = 797,448/x
  3. Step 3: Cross multiply
    516,080x = 797,448 × 797,448
  4. Step 4: Simplify right side
    516,080x = 635,923,312,704
  5. Step 5: Solve for x
    x = 635,923,312,704/516,080
  6. Step 6: Final answer
    x = 1,232,218.48

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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.