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Finding the Third Proportional to 750.73 and 1,032.43

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Solution

The third proportional to 750.73 and 1,032.43 is: 1,419.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.73 : 1,032.43 = 1,032.43 : x
  2. Step 2: Convert to fraction form
    750.73/1,032.43 = 1,032.43/x
  3. Step 3: Cross multiply
    750.73x = 1,032.43 × 1,032.43
  4. Step 4: Simplify right side
    750.73x = 1,065,919.13
  5. Step 5: Solve for x
    x = 1,065,919.13/750.73
  6. Step 6: Final answer
    x = 1,419.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.