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Finding the Third Proportional to 747.98 and 1,176.47

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Solution

The third proportional to 747.98 and 1,176.47 is: 1,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.98 : 1,176.47 = 1,176.47 : x
  2. Step 2: Convert to fraction form
    747.98/1,176.47 = 1,176.47/x
  3. Step 3: Cross multiply
    747.98x = 1,176.47 × 1,176.47
  4. Step 4: Simplify right side
    747.98x = 1,384,078.72
  5. Step 5: Solve for x
    x = 1,384,078.72/747.98
  6. Step 6: Final answer
    x = 1,850.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.