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Finding the Third Proportional to 730.69 and 1,036.13

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Solution

The third proportional to 730.69 and 1,036.13 is: 1,469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.69 : 1,036.13 = 1,036.13 : x
  2. Step 2: Convert to fraction form
    730.69/1,036.13 = 1,036.13/x
  3. Step 3: Cross multiply
    730.69x = 1,036.13 × 1,036.13
  4. Step 4: Simplify right side
    730.69x = 1,073,555.02
  5. Step 5: Solve for x
    x = 1,073,555.02/730.69
  6. Step 6: Final answer
    x = 1,469.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.