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Finding the Third Proportional to 749.53 and 1,607.34

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Solution

The third proportional to 749.53 and 1,607.34 is: 3,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.53 : 1,607.34 = 1,607.34 : x
  2. Step 2: Convert to fraction form
    749.53/1,607.34 = 1,607.34/x
  3. Step 3: Cross multiply
    749.53x = 1,607.34 × 1,607.34
  4. Step 4: Simplify right side
    749.53x = 2,583,553.93
  5. Step 5: Solve for x
    x = 2,583,553.93/749.53
  6. Step 6: Final answer
    x = 3,446.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.