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Finding the Third Proportional to 614.25 and 869.06

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Solution

The third proportional to 614.25 and 869.06 is: 1,229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.25 : 869.06 = 869.06 : x
  2. Step 2: Convert to fraction form
    614.25/869.06 = 869.06/x
  3. Step 3: Cross multiply
    614.25x = 869.06 × 869.06
  4. Step 4: Simplify right side
    614.25x = 755,269.63
  5. Step 5: Solve for x
    x = 755,269.63/614.25
  6. Step 6: Final answer
    x = 1,229.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.