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Finding the Third Proportional to 614.14 and 1,327.01

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Solution

The third proportional to 614.14 and 1,327.01 is: 2,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.14 : 1,327.01 = 1,327.01 : x
  2. Step 2: Convert to fraction form
    614.14/1,327.01 = 1,327.01/x
  3. Step 3: Cross multiply
    614.14x = 1,327.01 × 1,327.01
  4. Step 4: Simplify right side
    614.14x = 1,760,949.73
  5. Step 5: Solve for x
    x = 1,760,949.73/614.14
  6. Step 6: Final answer
    x = 2,867.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.