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Finding the Third Proportional to 373.61 and 737.65

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Solution

The third proportional to 373.61 and 737.65 is: 1,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.61 : 737.65 = 737.65 : x
  2. Step 2: Convert to fraction form
    373.61/737.65 = 737.65/x
  3. Step 3: Cross multiply
    373.61x = 737.65 × 737.65
  4. Step 4: Simplify right side
    373.61x = 544,125.22
  5. Step 5: Solve for x
    x = 544,125.22/373.61
  6. Step 6: Final answer
    x = 1,456.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.