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Finding the Third Proportional to 394,766 and 599,533

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Solution

The third proportional to 394,766 and 599,533 is: 910,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,766 : 599,533 = 599,533 : x
  2. Step 2: Convert to fraction form
    394,766/599,533 = 599,533/x
  3. Step 3: Cross multiply
    394,766x = 599,533 × 599,533
  4. Step 4: Simplify right side
    394,766x = 359,439,818,089
  5. Step 5: Solve for x
    x = 359,439,818,089/394,766
  6. Step 6: Final answer
    x = 910,513.62

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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.