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Finding the Third Proportional to 221,966.58 and 479,401.03

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Solution

The third proportional to 221,966.58 and 479,401.03 is: 1,035,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,966.58 : 479,401.03 = 479,401.03 : x
  2. Step 2: Convert to fraction form
    221,966.58/479,401.03 = 479,401.03/x
  3. Step 3: Cross multiply
    221,966.58x = 479,401.03 × 479,401.03
  4. Step 4: Simplify right side
    221,966.58x = 229,825,348,763.56
  5. Step 5: Solve for x
    x = 229,825,348,763.56/221,966.58
  6. Step 6: Final answer
    x = 1,035,405.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.