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Finding the Third Proportional to 625.19 and 1,447.38

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Solution

The third proportional to 625.19 and 1,447.38 is: 3,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.19 : 1,447.38 = 1,447.38 : x
  2. Step 2: Convert to fraction form
    625.19/1,447.38 = 1,447.38/x
  3. Step 3: Cross multiply
    625.19x = 1,447.38 × 1,447.38
  4. Step 4: Simplify right side
    625.19x = 2,094,894.39
  5. Step 5: Solve for x
    x = 2,094,894.39/625.19
  6. Step 6: Final answer
    x = 3,350.83

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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.