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Finding the Third Proportional to 462.94 and 703.97

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Solution

The third proportional to 462.94 and 703.97 is: 1,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.94 : 703.97 = 703.97 : x
  2. Step 2: Convert to fraction form
    462.94/703.97 = 703.97/x
  3. Step 3: Cross multiply
    462.94x = 703.97 × 703.97
  4. Step 4: Simplify right side
    462.94x = 495,572.00
  5. Step 5: Solve for x
    x = 495,572.00/462.94
  6. Step 6: Final answer
    x = 1,070.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.