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Finding the Third Proportional to 200,569 and 440,497

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Solution

The third proportional to 200,569 and 440,497 is: 967,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,569 : 440,497 = 440,497 : x
  2. Step 2: Convert to fraction form
    200,569/440,497 = 440,497/x
  3. Step 3: Cross multiply
    200,569x = 440,497 × 440,497
  4. Step 4: Simplify right side
    200,569x = 194,037,607,009
  5. Step 5: Solve for x
    x = 194,037,607,009/200,569
  6. Step 6: Final answer
    x = 967,435.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.