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Finding the Third Proportional to 966.56 and 1,500.33

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Solution

The third proportional to 966.56 and 1,500.33 is: 2,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.56 : 1,500.33 = 1,500.33 : x
  2. Step 2: Convert to fraction form
    966.56/1,500.33 = 1,500.33/x
  3. Step 3: Cross multiply
    966.56x = 1,500.33 × 1,500.33
  4. Step 4: Simplify right side
    966.56x = 2,250,984.48
  5. Step 5: Solve for x
    x = 2,250,984.48/966.56
  6. Step 6: Final answer
    x = 2,328.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.