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Finding the Third Proportional to 278,598 and 610,608

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Solution

The third proportional to 278,598 and 610,608 is: 1,338,279.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,598 : 610,608 = 610,608 : x
  2. Step 2: Convert to fraction form
    278,598/610,608 = 610,608/x
  3. Step 3: Cross multiply
    278,598x = 610,608 × 610,608
  4. Step 4: Simplify right side
    278,598x = 372,842,129,664
  5. Step 5: Solve for x
    x = 372,842,129,664/278,598
  6. Step 6: Final answer
    x = 1,338,279.99

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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.