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Finding the Third Proportional to 408,098 and 573,677

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Solution

The third proportional to 408,098 and 573,677 is: 806,436.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,098 : 573,677 = 573,677 : x
  2. Step 2: Convert to fraction form
    408,098/573,677 = 573,677/x
  3. Step 3: Cross multiply
    408,098x = 573,677 × 573,677
  4. Step 4: Simplify right side
    408,098x = 329,105,300,329
  5. Step 5: Solve for x
    x = 329,105,300,329/408,098
  6. Step 6: Final answer
    x = 806,436.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.