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Finding the Third Proportional to 614.75 and 936.88

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Solution

The third proportional to 614.75 and 936.88 is: 1,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.75 : 936.88 = 936.88 : x
  2. Step 2: Convert to fraction form
    614.75/936.88 = 936.88/x
  3. Step 3: Cross multiply
    614.75x = 936.88 × 936.88
  4. Step 4: Simplify right side
    614.75x = 877,734.77
  5. Step 5: Solve for x
    x = 877,734.77/614.75
  6. Step 6: Final answer
    x = 1,427.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.