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Finding the Third Proportional to 614.38 and 1,326.88

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Solution

The third proportional to 614.38 and 1,326.88 is: 2,865.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.38 : 1,326.88 = 1,326.88 : x
  2. Step 2: Convert to fraction form
    614.38/1,326.88 = 1,326.88/x
  3. Step 3: Cross multiply
    614.38x = 1,326.88 × 1,326.88
  4. Step 4: Simplify right side
    614.38x = 1,760,597.27
  5. Step 5: Solve for x
    x = 1,760,597.27/614.38
  6. Step 6: Final answer
    x = 2,865.67

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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.