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Finding the Third Proportional to 409,563 and 641,098

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Solution

The third proportional to 409,563 and 641,098 is: 1,003,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,563 : 641,098 = 641,098 : x
  2. Step 2: Convert to fraction form
    409,563/641,098 = 641,098/x
  3. Step 3: Cross multiply
    409,563x = 641,098 × 641,098
  4. Step 4: Simplify right side
    409,563x = 411,006,645,604
  5. Step 5: Solve for x
    x = 411,006,645,604/409,563
  6. Step 6: Final answer
    x = 1,003,524.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.