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Finding the Third Proportional to 874.55 and 945.42

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Solution

The third proportional to 874.55 and 945.42 is: 1,022.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.55 : 945.42 = 945.42 : x
  2. Step 2: Convert to fraction form
    874.55/945.42 = 945.42/x
  3. Step 3: Cross multiply
    874.55x = 945.42 × 945.42
  4. Step 4: Simplify right side
    874.55x = 893,822.52
  5. Step 5: Solve for x
    x = 893,822.52/874.55
  6. Step 6: Final answer
    x = 1,022.04

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.