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Finding the Third Proportional to 741.10 and 1,631.17

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Solution

The third proportional to 741.10 and 1,631.17 is: 3,590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.10 : 1,631.17 = 1,631.17 : x
  2. Step 2: Convert to fraction form
    741.10/1,631.17 = 1,631.17/x
  3. Step 3: Cross multiply
    741.10x = 1,631.17 × 1,631.17
  4. Step 4: Simplify right side
    741.10x = 2,660,725.67
  5. Step 5: Solve for x
    x = 2,660,725.67/741.10
  6. Step 6: Final answer
    x = 3,590.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.