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Finding the Third Proportional to 565 and 617.50

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Solution

The third proportional to 565 and 617.50 is: 674.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 617.50 = 617.50 : x
  2. Step 2: Convert to fraction form
    565/617.50 = 617.50/x
  3. Step 3: Cross multiply
    565x = 617.50 × 617.50
  4. Step 4: Simplify right side
    565x = 381,306.25
  5. Step 5: Solve for x
    x = 381,306.25/565
  6. Step 6: Final answer
    x = 674.88

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.