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Finding the Third Proportional to 471 and 625.50

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Solution

The third proportional to 471 and 625.50 is: 830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 625.50 = 625.50 : x
  2. Step 2: Convert to fraction form
    471/625.50 = 625.50/x
  3. Step 3: Cross multiply
    471x = 625.50 × 625.50
  4. Step 4: Simplify right side
    471x = 391,250.25
  5. Step 5: Solve for x
    x = 391,250.25/471
  6. Step 6: Final answer
    x = 830.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.