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Finding the Third Proportional to 221,131.13 and 479,806.88

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Solution

The third proportional to 221,131.13 and 479,806.88 is: 1,041,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,131.13 : 479,806.88 = 479,806.88 : x
  2. Step 2: Convert to fraction form
    221,131.13/479,806.88 = 479,806.88/x
  3. Step 3: Cross multiply
    221,131.13x = 479,806.88 × 479,806.88
  4. Step 4: Simplify right side
    221,131.13x = 230,214,637,297.27
  5. Step 5: Solve for x
    x = 230,214,637,297.27/221,131.13
  6. Step 6: Final answer
    x = 1,041,077.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.