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Finding the Third Proportional to 322.31 and 703.59

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Solution

The third proportional to 322.31 and 703.59 is: 1,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.31 : 703.59 = 703.59 : x
  2. Step 2: Convert to fraction form
    322.31/703.59 = 703.59/x
  3. Step 3: Cross multiply
    322.31x = 703.59 × 703.59
  4. Step 4: Simplify right side
    322.31x = 495,044.17
  5. Step 5: Solve for x
    x = 495,044.17/322.31
  6. Step 6: Final answer
    x = 1,535.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.