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Finding the Third Proportional to 542.25 and 619.50

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Solution

The third proportional to 542.25 and 619.50 is: 707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 619.50 = 619.50 : x
  2. Step 2: Convert to fraction form
    542.25/619.50 = 619.50/x
  3. Step 3: Cross multiply
    542.25x = 619.50 × 619.50
  4. Step 4: Simplify right side
    542.25x = 383,780.25
  5. Step 5: Solve for x
    x = 383,780.25/542.25
  6. Step 6: Final answer
    x = 707.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.