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Finding the Third Proportional to 890.72 and 1,129.92

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Solution

The third proportional to 890.72 and 1,129.92 is: 1,433.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.72 : 1,129.92 = 1,129.92 : x
  2. Step 2: Convert to fraction form
    890.72/1,129.92 = 1,129.92/x
  3. Step 3: Cross multiply
    890.72x = 1,129.92 × 1,129.92
  4. Step 4: Simplify right side
    890.72x = 1,276,723.44
  5. Step 5: Solve for x
    x = 1,276,723.44/890.72
  6. Step 6: Final answer
    x = 1,433.36

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.