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Finding the Third Proportional to 484.38 and 703.75

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Solution

The third proportional to 484.38 and 703.75 is: 1,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.38 : 703.75 = 703.75 : x
  2. Step 2: Convert to fraction form
    484.38/703.75 = 703.75/x
  3. Step 3: Cross multiply
    484.38x = 703.75 × 703.75
  4. Step 4: Simplify right side
    484.38x = 495,264.06
  5. Step 5: Solve for x
    x = 495,264.06/484.38
  6. Step 6: Final answer
    x = 1,022.48

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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.