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Finding the Third Proportional to 278,588.25 and 610,579.13

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Solution

The third proportional to 278,588.25 and 610,579.13 is: 1,338,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,588.25 : 610,579.13 = 610,579.13 : x
  2. Step 2: Convert to fraction form
    278,588.25/610,579.13 = 610,579.13/x
  3. Step 3: Cross multiply
    278,588.25x = 610,579.13 × 610,579.13
  4. Step 4: Simplify right side
    278,588.25x = 372,806,867,885.77
  5. Step 5: Solve for x
    x = 372,806,867,885.77/278,588.25
  6. Step 6: Final answer
    x = 1,338,200.26

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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.