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Finding the Third Proportional to 631.23 and 1,474.14

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Solution

The third proportional to 631.23 and 1,474.14 is: 3,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.23 : 1,474.14 = 1,474.14 : x
  2. Step 2: Convert to fraction form
    631.23/1,474.14 = 1,474.14/x
  3. Step 3: Cross multiply
    631.23x = 1,474.14 × 1,474.14
  4. Step 4: Simplify right side
    631.23x = 2,173,079.07
  5. Step 5: Solve for x
    x = 2,173,079.07/631.23
  6. Step 6: Final answer
    x = 3,442.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.