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Finding the Third Proportional to 432.38 and 586.88

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Solution

The third proportional to 432.38 and 586.88 is: 796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.38 : 586.88 = 586.88 : x
  2. Step 2: Convert to fraction form
    432.38/586.88 = 586.88/x
  3. Step 3: Cross multiply
    432.38x = 586.88 × 586.88
  4. Step 4: Simplify right side
    432.38x = 344,422.27
  5. Step 5: Solve for x
    x = 344,422.27/432.38
  6. Step 6: Final answer
    x = 796.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.