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Finding the Third Proportional to 614.44 and 1,331.63

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Solution

The third proportional to 614.44 and 1,331.63 is: 2,885.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.44 : 1,331.63 = 1,331.63 : x
  2. Step 2: Convert to fraction form
    614.44/1,331.63 = 1,331.63/x
  3. Step 3: Cross multiply
    614.44x = 1,331.63 × 1,331.63
  4. Step 4: Simplify right side
    614.44x = 1,773,225.14
  5. Step 5: Solve for x
    x = 1,773,225.14/614.44
  6. Step 6: Final answer
    x = 2,885.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.