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Finding the Third Proportional to 562.01 and 850.85

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Solution

The third proportional to 562.01 and 850.85 is: 1,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.01 : 850.85 = 850.85 : x
  2. Step 2: Convert to fraction form
    562.01/850.85 = 850.85/x
  3. Step 3: Cross multiply
    562.01x = 850.85 × 850.85
  4. Step 4: Simplify right side
    562.01x = 723,948.38
  5. Step 5: Solve for x
    x = 723,948.38/562.01
  6. Step 6: Final answer
    x = 1,288.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.