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Finding the Third Proportional to 201,366 and 441,482

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Solution

The third proportional to 201,366 and 441,482 is: 967,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,366 : 441,482 = 441,482 : x
  2. Step 2: Convert to fraction form
    201,366/441,482 = 441,482/x
  3. Step 3: Cross multiply
    201,366x = 441,482 × 441,482
  4. Step 4: Simplify right side
    201,366x = 194,906,356,324
  5. Step 5: Solve for x
    x = 194,906,356,324/201,366
  6. Step 6: Final answer
    x = 967,920.88

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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.