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Finding the Third Proportional to 632.63 and 927.19

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Solution

The third proportional to 632.63 and 927.19 is: 1,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.63 : 927.19 = 927.19 : x
  2. Step 2: Convert to fraction form
    632.63/927.19 = 927.19/x
  3. Step 3: Cross multiply
    632.63x = 927.19 × 927.19
  4. Step 4: Simplify right side
    632.63x = 859,676.66
  5. Step 5: Solve for x
    x = 859,676.66/632.63
  6. Step 6: Final answer
    x = 1,358.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.