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Finding the Third Proportional to 278,764 and 610,906

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Solution

The third proportional to 278,764 and 610,906 is: 1,338,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,764 : 610,906 = 610,906 : x
  2. Step 2: Convert to fraction form
    278,764/610,906 = 610,906/x
  3. Step 3: Cross multiply
    278,764x = 610,906 × 610,906
  4. Step 4: Simplify right side
    278,764x = 373,206,140,836
  5. Step 5: Solve for x
    x = 373,206,140,836/278,764
  6. Step 6: Final answer
    x = 1,338,788.87

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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.