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Finding the Third Proportional to 202,291 and 441,446

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Solution

The third proportional to 202,291 and 441,446 is: 963,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,291 : 441,446 = 441,446 : x
  2. Step 2: Convert to fraction form
    202,291/441,446 = 441,446/x
  3. Step 3: Cross multiply
    202,291x = 441,446 × 441,446
  4. Step 4: Simplify right side
    202,291x = 194,874,570,916
  5. Step 5: Solve for x
    x = 194,874,570,916/202,291
  6. Step 6: Final answer
    x = 963,337.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.