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Finding the Third Proportional to 650.67 and 1,422.70

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Solution

The third proportional to 650.67 and 1,422.70 is: 3,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.67 : 1,422.70 = 1,422.70 : x
  2. Step 2: Convert to fraction form
    650.67/1,422.70 = 1,422.70/x
  3. Step 3: Cross multiply
    650.67x = 1,422.70 × 1,422.70
  4. Step 4: Simplify right side
    650.67x = 2,024,084.18
  5. Step 5: Solve for x
    x = 2,024,084.18/650.67
  6. Step 6: Final answer
    x = 3,110.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.