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Finding the Third Proportional to 408,086 and 573,657

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Solution

The third proportional to 408,086 and 573,657 is: 806,404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,086 : 573,657 = 573,657 : x
  2. Step 2: Convert to fraction form
    408,086/573,657 = 573,657/x
  3. Step 3: Cross multiply
    408,086x = 573,657 × 573,657
  4. Step 4: Simplify right side
    408,086x = 329,082,353,649
  5. Step 5: Solve for x
    x = 329,082,353,649/408,086
  6. Step 6: Final answer
    x = 806,404.42

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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.