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Finding the Third Proportional to 278,635.50 and 610,668

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Solution

The third proportional to 278,635.50 and 610,668 is: 1,338,362.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,635.50 : 610,668 = 610,668 : x
  2. Step 2: Convert to fraction form
    278,635.50/610,668 = 610,668/x
  3. Step 3: Cross multiply
    278,635.50x = 610,668 × 610,668
  4. Step 4: Simplify right side
    278,635.50x = 372,915,406,224
  5. Step 5: Solve for x
    x = 372,915,406,224/278,635.50
  6. Step 6: Final answer
    x = 1,338,362.87

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Why These Related Problems?

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