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Finding the Third Proportional to 278,479,546 and 603,241,844

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Solution

The third proportional to 278,479,546 and 603,241,844 is: 1,306,741,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,479,546 : 603,241,844 = 603,241,844 : x
  2. Step 2: Convert to fraction form
    278,479,546/603,241,844 = 603,241,844/x
  3. Step 3: Cross multiply
    278,479,546x = 603,241,844 × 603,241,844
  4. Step 4: Simplify right side
    278,479,546x = 363,900,722,352,520,320
  5. Step 5: Solve for x
    x = 363,900,722,352,520,320/278,479,546
  6. Step 6: Final answer
    x = 1,306,741,294.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.