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Finding the Third Proportional to 337,631.50 and 720,460.75

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Solution

The third proportional to 337,631.50 and 720,460.75 is: 1,537,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,631.50 : 720,460.75 = 720,460.75 : x
  2. Step 2: Convert to fraction form
    337,631.50/720,460.75 = 720,460.75/x
  3. Step 3: Cross multiply
    337,631.50x = 720,460.75 × 720,460.75
  4. Step 4: Simplify right side
    337,631.50x = 519,063,692,290.56
  5. Step 5: Solve for x
    x = 519,063,692,290.56/337,631.50
  6. Step 6: Final answer
    x = 1,537,367.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.