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Finding the Third Proportional to 472.75 and 643.88

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Solution

The third proportional to 472.75 and 643.88 is: 876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.75 : 643.88 = 643.88 : x
  2. Step 2: Convert to fraction form
    472.75/643.88 = 643.88/x
  3. Step 3: Cross multiply
    472.75x = 643.88 × 643.88
  4. Step 4: Simplify right side
    472.75x = 414,575.02
  5. Step 5: Solve for x
    x = 414,575.02/472.75
  6. Step 6: Final answer
    x = 876.94

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.