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Finding the Third Proportional to 562.68 and 1,308.13

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Solution

The third proportional to 562.68 and 1,308.13 is: 3,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.68 : 1,308.13 = 1,308.13 : x
  2. Step 2: Convert to fraction form
    562.68/1,308.13 = 1,308.13/x
  3. Step 3: Cross multiply
    562.68x = 1,308.13 × 1,308.13
  4. Step 4: Simplify right side
    562.68x = 1,711,201.24
  5. Step 5: Solve for x
    x = 1,711,201.24/562.68
  6. Step 6: Final answer
    x = 3,041.19

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.