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Finding the Third Proportional to 565.88 and 751.13

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Solution

The third proportional to 565.88 and 751.13 is: 997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.88 : 751.13 = 751.13 : x
  2. Step 2: Convert to fraction form
    565.88/751.13 = 751.13/x
  3. Step 3: Cross multiply
    565.88x = 751.13 × 751.13
  4. Step 4: Simplify right side
    565.88x = 564,188.77
  5. Step 5: Solve for x
    x = 564,188.77/565.88
  6. Step 6: Final answer
    x = 997.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.