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Finding the Third Proportional to 744.19 and 1,627.17

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Solution

The third proportional to 744.19 and 1,627.17 is: 3,557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.19 : 1,627.17 = 1,627.17 : x
  2. Step 2: Convert to fraction form
    744.19/1,627.17 = 1,627.17/x
  3. Step 3: Cross multiply
    744.19x = 1,627.17 × 1,627.17
  4. Step 4: Simplify right side
    744.19x = 2,647,688.31
  5. Step 5: Solve for x
    x = 2,647,688.31/744.19
  6. Step 6: Final answer
    x = 3,557.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.