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Finding the Third Proportional to 732.94 and 1,059.47

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Solution

The third proportional to 732.94 and 1,059.47 is: 1,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.94 : 1,059.47 = 1,059.47 : x
  2. Step 2: Convert to fraction form
    732.94/1,059.47 = 1,059.47/x
  3. Step 3: Cross multiply
    732.94x = 1,059.47 × 1,059.47
  4. Step 4: Simplify right side
    732.94x = 1,122,474.03
  5. Step 5: Solve for x
    x = 1,122,474.03/732.94
  6. Step 6: Final answer
    x = 1,531.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.