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Finding the Third Proportional to 516,043.13 and 797,073.75

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Solution

The third proportional to 516,043.13 and 797,073.75 is: 1,231,150.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,043.13 : 797,073.75 = 797,073.75 : x
  2. Step 2: Convert to fraction form
    516,043.13/797,073.75 = 797,073.75/x
  3. Step 3: Cross multiply
    516,043.13x = 797,073.75 × 797,073.75
  4. Step 4: Simplify right side
    516,043.13x = 635,326,562,939.06
  5. Step 5: Solve for x
    x = 635,326,562,939.06/516,043.13
  6. Step 6: Final answer
    x = 1,231,150.13

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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.