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Finding the Third Proportional to 516,000 and 797,008

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Solution

The third proportional to 516,000 and 797,008 is: 1,231,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,000 : 797,008 = 797,008 : x
  2. Step 2: Convert to fraction form
    516,000/797,008 = 797,008/x
  3. Step 3: Cross multiply
    516,000x = 797,008 × 797,008
  4. Step 4: Simplify right side
    516,000x = 635,221,752,064
  5. Step 5: Solve for x
    x = 635,221,752,064/516,000
  6. Step 6: Final answer
    x = 1,231,049.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.