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Finding the Third Proportional to 337.92 and 715.92

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Solution

The third proportional to 337.92 and 715.92 is: 1,516.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 715.92 = 715.92 : x
  2. Step 2: Convert to fraction form
    337.92/715.92 = 715.92/x
  3. Step 3: Cross multiply
    337.92x = 715.92 × 715.92
  4. Step 4: Simplify right side
    337.92x = 512,544.13
  5. Step 5: Solve for x
    x = 512,544.13/337.92
  6. Step 6: Final answer
    x = 1,516.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.