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Finding the Third Proportional to 516,076.31 and 758,904.19

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Solution

The third proportional to 516,076.31 and 758,904.19 is: 1,115,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,076.31 : 758,904.19 = 758,904.19 : x
  2. Step 2: Convert to fraction form
    516,076.31/758,904.19 = 758,904.19/x
  3. Step 3: Cross multiply
    516,076.31x = 758,904.19 × 758,904.19
  4. Step 4: Simplify right side
    516,076.31x = 575,935,565,805.04
  5. Step 5: Solve for x
    x = 575,935,565,805.04/516,076.31
  6. Step 6: Final answer
    x = 1,115,989.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.