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Finding the Third Proportional to 401.50 and 542

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Solution

The third proportional to 401.50 and 542 is: 731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.50 : 542 = 542 : x
  2. Step 2: Convert to fraction form
    401.50/542 = 542/x
  3. Step 3: Cross multiply
    401.50x = 542 × 542
  4. Step 4: Simplify right side
    401.50x = 293,764
  5. Step 5: Solve for x
    x = 293,764/401.50
  6. Step 6: Final answer
    x = 731.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.