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Finding the Third Proportional to 278,919,656 and 608,060,560

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Solution

The third proportional to 278,919,656 and 608,060,560 is: 1,325,606,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,919,656 : 608,060,560 = 608,060,560 : x
  2. Step 2: Convert to fraction form
    278,919,656/608,060,560 = 608,060,560/x
  3. Step 3: Cross multiply
    278,919,656x = 608,060,560 × 608,060,560
  4. Step 4: Simplify right side
    278,919,656x = 369,737,644,627,513,600
  5. Step 5: Solve for x
    x = 369,737,644,627,513,600/278,919,656
  6. Step 6: Final answer
    x = 1,325,606,269.31

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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.