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Finding the Third Proportional to 337.88 and 731.63

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Solution

The third proportional to 337.88 and 731.63 is: 1,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.88 : 731.63 = 731.63 : x
  2. Step 2: Convert to fraction form
    337.88/731.63 = 731.63/x
  3. Step 3: Cross multiply
    337.88x = 731.63 × 731.63
  4. Step 4: Simplify right side
    337.88x = 535,275.14
  5. Step 5: Solve for x
    x = 535,275.14/337.88
  6. Step 6: Final answer
    x = 1,584.24

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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.