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Finding the Third Proportional to 874.76 and 1,337.55

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Solution

The third proportional to 874.76 and 1,337.55 is: 2,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.76 : 1,337.55 = 1,337.55 : x
  2. Step 2: Convert to fraction form
    874.76/1,337.55 = 1,337.55/x
  3. Step 3: Cross multiply
    874.76x = 1,337.55 × 1,337.55
  4. Step 4: Simplify right side
    874.76x = 1,789,052.54
  5. Step 5: Solve for x
    x = 1,789,052.54/874.76
  6. Step 6: Final answer
    x = 2,045.20

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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.