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Finding the Third Proportional to 749.16 and 1,123.22

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Solution

The third proportional to 749.16 and 1,123.22 is: 1,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.16 : 1,123.22 = 1,123.22 : x
  2. Step 2: Convert to fraction form
    749.16/1,123.22 = 1,123.22/x
  3. Step 3: Cross multiply
    749.16x = 1,123.22 × 1,123.22
  4. Step 4: Simplify right side
    749.16x = 1,261,620.36
  5. Step 5: Solve for x
    x = 1,261,620.36/749.16
  6. Step 6: Final answer
    x = 1,684.06

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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.