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Finding the Third Proportional to 344,778.19 and 731,023.31

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Solution

The third proportional to 344,778.19 and 731,023.31 is: 1,549,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,778.19 : 731,023.31 = 731,023.31 : x
  2. Step 2: Convert to fraction form
    344,778.19/731,023.31 = 731,023.31/x
  3. Step 3: Cross multiply
    344,778.19x = 731,023.31 × 731,023.31
  4. Step 4: Simplify right side
    344,778.19x = 534,395,083,418.47
  5. Step 5: Solve for x
    x = 534,395,083,418.47/344,778.19
  6. Step 6: Final answer
    x = 1,549,967.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.