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Finding the Third Proportional to 218,926.50 and 471,624

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Solution

The third proportional to 218,926.50 and 471,624 is: 1,015,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,926.50 : 471,624 = 471,624 : x
  2. Step 2: Convert to fraction form
    218,926.50/471,624 = 471,624/x
  3. Step 3: Cross multiply
    218,926.50x = 471,624 × 471,624
  4. Step 4: Simplify right side
    218,926.50x = 222,429,197,376
  5. Step 5: Solve for x
    x = 222,429,197,376/218,926.50
  6. Step 6: Final answer
    x = 1,015,999.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.