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Finding the Third Proportional to 516,043.69 and 797,074.88

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Solution

The third proportional to 516,043.69 and 797,074.88 is: 1,231,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,043.69 : 797,074.88 = 797,074.88 : x
  2. Step 2: Convert to fraction form
    516,043.69/797,074.88 = 797,074.88/x
  3. Step 3: Cross multiply
    516,043.69x = 797,074.88 × 797,074.88
  4. Step 4: Simplify right side
    516,043.69x = 635,328,356,356.27
  5. Step 5: Solve for x
    x = 635,328,356,356.27/516,043.69
  6. Step 6: Final answer
    x = 1,231,152.27

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