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Finding the Third Proportional to 221,382 and 484,317

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Solution

The third proportional to 221,382 and 484,317 is: 1,059,539.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,382 : 484,317 = 484,317 : x
  2. Step 2: Convert to fraction form
    221,382/484,317 = 484,317/x
  3. Step 3: Cross multiply
    221,382x = 484,317 × 484,317
  4. Step 4: Simplify right side
    221,382x = 234,562,956,489
  5. Step 5: Solve for x
    x = 234,562,956,489/221,382
  6. Step 6: Final answer
    x = 1,059,539.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.