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Finding the Third Proportional to 667.71 and 1,426.55

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Solution

The third proportional to 667.71 and 1,426.55 is: 3,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.71 : 1,426.55 = 1,426.55 : x
  2. Step 2: Convert to fraction form
    667.71/1,426.55 = 1,426.55/x
  3. Step 3: Cross multiply
    667.71x = 1,426.55 × 1,426.55
  4. Step 4: Simplify right side
    667.71x = 2,035,035.99
  5. Step 5: Solve for x
    x = 2,035,035.99/667.71
  6. Step 6: Final answer
    x = 3,047.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.