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Finding the Third Proportional to 516,045 and 797,077

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Solution

The third proportional to 516,045 and 797,077 is: 1,231,155.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,045 : 797,077 = 797,077 : x
  2. Step 2: Convert to fraction form
    516,045/797,077 = 797,077/x
  3. Step 3: Cross multiply
    516,045x = 797,077 × 797,077
  4. Step 4: Simplify right side
    516,045x = 635,331,743,929
  5. Step 5: Solve for x
    x = 635,331,743,929/516,045
  6. Step 6: Final answer
    x = 1,231,155.70

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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.