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Finding the Third Proportional to 337,934 and 472,452.50

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Solution

The third proportional to 337,934 and 472,452.50 is: 660,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,934 : 472,452.50 = 472,452.50 : x
  2. Step 2: Convert to fraction form
    337,934/472,452.50 = 472,452.50/x
  3. Step 3: Cross multiply
    337,934x = 472,452.50 × 472,452.50
  4. Step 4: Simplify right side
    337,934x = 223,211,364,756.25
  5. Step 5: Solve for x
    x = 223,211,364,756.25/337,934
  6. Step 6: Final answer
    x = 660,517.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.