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Finding the Third Proportional to 394,769 and 599,539

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Solution

The third proportional to 394,769 and 599,539 is: 910,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,769 : 599,539 = 599,539 : x
  2. Step 2: Convert to fraction form
    394,769/599,539 = 599,539/x
  3. Step 3: Cross multiply
    394,769x = 599,539 × 599,539
  4. Step 4: Simplify right side
    394,769x = 359,447,012,521
  5. Step 5: Solve for x
    x = 359,447,012,521/394,769
  6. Step 6: Final answer
    x = 910,524.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.