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Finding the Third Proportional to 278,919,694 and 608,060,648

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Solution

The third proportional to 278,919,694 and 608,060,648 is: 1,325,606,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,919,694 : 608,060,648 = 608,060,648 : x
  2. Step 2: Convert to fraction form
    278,919,694/608,060,648 = 608,060,648/x
  3. Step 3: Cross multiply
    278,919,694x = 608,060,648 × 608,060,648
  4. Step 4: Simplify right side
    278,919,694x = 369,737,751,646,179,904
  5. Step 5: Solve for x
    x = 369,737,751,646,179,904/278,919,694
  6. Step 6: Final answer
    x = 1,325,606,472.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.