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Finding the Third Proportional to 339,800.06 and 731,671.31

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Solution

The third proportional to 339,800.06 and 731,671.31 is: 1,575,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,800.06 : 731,671.31 = 731,671.31 : x
  2. Step 2: Convert to fraction form
    339,800.06/731,671.31 = 731,671.31/x
  3. Step 3: Cross multiply
    339,800.06x = 731,671.31 × 731,671.31
  4. Step 4: Simplify right side
    339,800.06x = 535,342,909,535.47
  5. Step 5: Solve for x
    x = 535,342,909,535.47/339,800.06
  6. Step 6: Final answer
    x = 1,575,464.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.