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Finding the Third Proportional to 542.50 and 598.75

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Solution

The third proportional to 542.50 and 598.75 is: 660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.50 : 598.75 = 598.75 : x
  2. Step 2: Convert to fraction form
    542.50/598.75 = 598.75/x
  3. Step 3: Cross multiply
    542.50x = 598.75 × 598.75
  4. Step 4: Simplify right side
    542.50x = 358,501.56
  5. Step 5: Solve for x
    x = 358,501.56/542.50
  6. Step 6: Final answer
    x = 660.83

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.