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Finding the Third Proportional to 739.34 and 1,614.72

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Solution

The third proportional to 739.34 and 1,614.72 is: 3,526.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.34 : 1,614.72 = 1,614.72 : x
  2. Step 2: Convert to fraction form
    739.34/1,614.72 = 1,614.72/x
  3. Step 3: Cross multiply
    739.34x = 1,614.72 × 1,614.72
  4. Step 4: Simplify right side
    739.34x = 2,607,316.64
  5. Step 5: Solve for x
    x = 2,607,316.64/739.34
  6. Step 6: Final answer
    x = 3,526.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.