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Finding the Third Proportional to 372,144.38 and 815,209.31

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Solution

The third proportional to 372,144.38 and 815,209.31 is: 1,785,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,144.38 : 815,209.31 = 815,209.31 : x
  2. Step 2: Convert to fraction form
    372,144.38/815,209.31 = 815,209.31/x
  3. Step 3: Cross multiply
    372,144.38x = 815,209.31 × 815,209.31
  4. Step 4: Simplify right side
    372,144.38x = 664,566,223,186.72
  5. Step 5: Solve for x
    x = 664,566,223,186.72/372,144.38
  6. Step 6: Final answer
    x = 1,785,775.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.