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Finding the Third Proportional to 201,640 and 441,872

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Solution

The third proportional to 201,640 and 441,872 is: 968,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,640 : 441,872 = 441,872 : x
  2. Step 2: Convert to fraction form
    201,640/441,872 = 441,872/x
  3. Step 3: Cross multiply
    201,640x = 441,872 × 441,872
  4. Step 4: Simplify right side
    201,640x = 195,250,864,384
  5. Step 5: Solve for x
    x = 195,250,864,384/201,640
  6. Step 6: Final answer
    x = 968,314.15

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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.