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Finding the Third Proportional to 337.92 and 499.92

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Solution

The third proportional to 337.92 and 499.92 is: 739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 499.92 = 499.92 : x
  2. Step 2: Convert to fraction form
    337.92/499.92 = 499.92/x
  3. Step 3: Cross multiply
    337.92x = 499.92 × 499.92
  4. Step 4: Simplify right side
    337.92x = 249,921.88
  5. Step 5: Solve for x
    x = 249,921.88/337.92
  6. Step 6: Final answer
    x = 739.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.