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Finding the Third Proportional to 337,619.25 and 731,289.38

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Solution

The third proportional to 337,619.25 and 731,289.38 is: 1,583,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,619.25 : 731,289.38 = 731,289.38 : x
  2. Step 2: Convert to fraction form
    337,619.25/731,289.38 = 731,289.38/x
  3. Step 3: Cross multiply
    337,619.25x = 731,289.38 × 731,289.38
  4. Step 4: Simplify right side
    337,619.25x = 534,784,149,987.89
  5. Step 5: Solve for x
    x = 534,784,149,987.89/337,619.25
  6. Step 6: Final answer
    x = 1,583,985.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.