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Finding the Third Proportional to 562.78 and 736.03

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Solution

The third proportional to 562.78 and 736.03 is: 962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.78 : 736.03 = 736.03 : x
  2. Step 2: Convert to fraction form
    562.78/736.03 = 736.03/x
  3. Step 3: Cross multiply
    562.78x = 736.03 × 736.03
  4. Step 4: Simplify right side
    562.78x = 541,742.00
  5. Step 5: Solve for x
    x = 541,742.00/562.78
  6. Step 6: Final answer
    x = 962.62

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.