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Finding the Third Proportional to 657.45 and 1,414.22

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Solution

The third proportional to 657.45 and 1,414.22 is: 3,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.45 : 1,414.22 = 1,414.22 : x
  2. Step 2: Convert to fraction form
    657.45/1,414.22 = 1,414.22/x
  3. Step 3: Cross multiply
    657.45x = 1,414.22 × 1,414.22
  4. Step 4: Simplify right side
    657.45x = 2,000,010.53
  5. Step 5: Solve for x
    x = 2,000,010.53/657.45
  6. Step 6: Final answer
    x = 3,042.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.