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Finding the Third Proportional to 749.34 and 1,134.47

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Solution

The third proportional to 749.34 and 1,134.47 is: 1,717.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.34 : 1,134.47 = 1,134.47 : x
  2. Step 2: Convert to fraction form
    749.34/1,134.47 = 1,134.47/x
  3. Step 3: Cross multiply
    749.34x = 1,134.47 × 1,134.47
  4. Step 4: Simplify right side
    749.34x = 1,287,019.34
  5. Step 5: Solve for x
    x = 1,287,019.34/749.34
  6. Step 6: Final answer
    x = 1,717.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.