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Finding the Third Proportional to 337.92 and 493.59

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Solution

The third proportional to 337.92 and 493.59 is: 720.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 493.59 = 493.59 : x
  2. Step 2: Convert to fraction form
    337.92/493.59 = 493.59/x
  3. Step 3: Cross multiply
    337.92x = 493.59 × 493.59
  4. Step 4: Simplify right side
    337.92x = 243,634.79
  5. Step 5: Solve for x
    x = 243,634.79/337.92
  6. Step 6: Final answer
    x = 720.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.