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Finding the Third Proportional to 624.27 and 1,150.14

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Solution

The third proportional to 624.27 and 1,150.14 is: 2,118.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.27 : 1,150.14 = 1,150.14 : x
  2. Step 2: Convert to fraction form
    624.27/1,150.14 = 1,150.14/x
  3. Step 3: Cross multiply
    624.27x = 1,150.14 × 1,150.14
  4. Step 4: Simplify right side
    624.27x = 1,322,814.47
  5. Step 5: Solve for x
    x = 1,322,814.47/624.27
  6. Step 6: Final answer
    x = 2,118.98

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.