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Finding the Third Proportional to 202,561 and 441,569

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Solution

The third proportional to 202,561 and 441,569 is: 962,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,561 : 441,569 = 441,569 : x
  2. Step 2: Convert to fraction form
    202,561/441,569 = 441,569/x
  3. Step 3: Cross multiply
    202,561x = 441,569 × 441,569
  4. Step 4: Simplify right side
    202,561x = 194,983,181,761
  5. Step 5: Solve for x
    x = 194,983,181,761/202,561
  6. Step 6: Final answer
    x = 962,589.94

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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.