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Finding the Third Proportional to 956.67 and 1,463.34

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Solution

The third proportional to 956.67 and 1,463.34 is: 2,238.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.67 : 1,463.34 = 1,463.34 : x
  2. Step 2: Convert to fraction form
    956.67/1,463.34 = 1,463.34/x
  3. Step 3: Cross multiply
    956.67x = 1,463.34 × 1,463.34
  4. Step 4: Simplify right side
    956.67x = 2,141,374.93
  5. Step 5: Solve for x
    x = 2,141,374.93/956.67
  6. Step 6: Final answer
    x = 2,238.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.