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Finding the Third Proportional to 278,668 and 610,736

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Solution

The third proportional to 278,668 and 610,736 is: 1,338,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,668 : 610,736 = 610,736 : x
  2. Step 2: Convert to fraction form
    278,668/610,736 = 610,736/x
  3. Step 3: Cross multiply
    278,668x = 610,736 × 610,736
  4. Step 4: Simplify right side
    278,668x = 372,998,461,696
  5. Step 5: Solve for x
    x = 372,998,461,696/278,668
  6. Step 6: Final answer
    x = 1,338,504.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.