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Finding the Third Proportional to 737.86 and 1,104.89

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Solution

The third proportional to 737.86 and 1,104.89 is: 1,654.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.86 : 1,104.89 = 1,104.89 : x
  2. Step 2: Convert to fraction form
    737.86/1,104.89 = 1,104.89/x
  3. Step 3: Cross multiply
    737.86x = 1,104.89 × 1,104.89
  4. Step 4: Simplify right side
    737.86x = 1,220,783.29
  5. Step 5: Solve for x
    x = 1,220,783.29/737.86
  6. Step 6: Final answer
    x = 1,654.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.