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Finding the Third Proportional to 221,972.91 and 479,414.32

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Solution

The third proportional to 221,972.91 and 479,414.32 is: 1,035,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,972.91 : 479,414.32 = 479,414.32 : x
  2. Step 2: Convert to fraction form
    221,972.91/479,414.32 = 479,414.32/x
  3. Step 3: Cross multiply
    221,972.91x = 479,414.32 × 479,414.32
  4. Step 4: Simplify right side
    221,972.91x = 229,838,090,520.70
  5. Step 5: Solve for x
    x = 229,838,090,520.70/221,972.91
  6. Step 6: Final answer
    x = 1,035,433.08

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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.