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Finding the Third Proportional to 562.23 and 1,160.78

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Solution

The third proportional to 562.23 and 1,160.78 is: 2,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.23 : 1,160.78 = 1,160.78 : x
  2. Step 2: Convert to fraction form
    562.23/1,160.78 = 1,160.78/x
  3. Step 3: Cross multiply
    562.23x = 1,160.78 × 1,160.78
  4. Step 4: Simplify right side
    562.23x = 1,347,400.64
  5. Step 5: Solve for x
    x = 1,347,400.64/562.23
  6. Step 6: Final answer
    x = 2,396.51

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.