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Finding the Third Proportional to 732.75 and 1,324.50

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Solution

The third proportional to 732.75 and 1,324.50 is: 2,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.75 : 1,324.50 = 1,324.50 : x
  2. Step 2: Convert to fraction form
    732.75/1,324.50 = 1,324.50/x
  3. Step 3: Cross multiply
    732.75x = 1,324.50 × 1,324.50
  4. Step 4: Simplify right side
    732.75x = 1,754,300.25
  5. Step 5: Solve for x
    x = 1,754,300.25/732.75
  6. Step 6: Final answer
    x = 2,394.13

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.