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Finding the Third Proportional to 565.13 and 850.13

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Solution

The third proportional to 565.13 and 850.13 is: 1,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.13 : 850.13 = 850.13 : x
  2. Step 2: Convert to fraction form
    565.13/850.13 = 850.13/x
  3. Step 3: Cross multiply
    565.13x = 850.13 × 850.13
  4. Step 4: Simplify right side
    565.13x = 722,712.52
  5. Step 5: Solve for x
    x = 722,712.52/565.13
  6. Step 6: Final answer
    x = 1,278.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.