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Finding the Third Proportional to 577.38 and 624.13

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Solution

The third proportional to 577.38 and 624.13 is: 674.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.38 : 624.13 = 624.13 : x
  2. Step 2: Convert to fraction form
    577.38/624.13 = 624.13/x
  3. Step 3: Cross multiply
    577.38x = 624.13 × 624.13
  4. Step 4: Simplify right side
    577.38x = 389,532.02
  5. Step 5: Solve for x
    x = 389,532.02/577.38
  6. Step 6: Final answer
    x = 674.66

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.