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Finding the Third Proportional to 631.13 and 958.08

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Solution

The third proportional to 631.13 and 958.08 is: 1,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.13 : 958.08 = 958.08 : x
  2. Step 2: Convert to fraction form
    631.13/958.08 = 958.08/x
  3. Step 3: Cross multiply
    631.13x = 958.08 × 958.08
  4. Step 4: Simplify right side
    631.13x = 917,913.69
  5. Step 5: Solve for x
    x = 917,913.69/631.13
  6. Step 6: Final answer
    x = 1,454.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.