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Finding the Third Proportional to 747.73 and 1,746.42

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Solution

The third proportional to 747.73 and 1,746.42 is: 4,079.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.73 : 1,746.42 = 1,746.42 : x
  2. Step 2: Convert to fraction form
    747.73/1,746.42 = 1,746.42/x
  3. Step 3: Cross multiply
    747.73x = 1,746.42 × 1,746.42
  4. Step 4: Simplify right side
    747.73x = 3,049,989.37
  5. Step 5: Solve for x
    x = 3,049,989.37/747.73
  6. Step 6: Final answer
    x = 4,079.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.