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Finding the Third Proportional to 278,479,548 and 603,241,848

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Solution

The third proportional to 278,479,548 and 603,241,848 is: 1,306,741,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,479,548 : 603,241,848 = 603,241,848 : x
  2. Step 2: Convert to fraction form
    278,479,548/603,241,848 = 603,241,848/x
  3. Step 3: Cross multiply
    278,479,548x = 603,241,848 × 603,241,848
  4. Step 4: Simplify right side
    278,479,548x = 363,900,727,178,455,104
  5. Step 5: Solve for x
    x = 363,900,727,178,455,104/278,479,548
  6. Step 6: Final answer
    x = 1,306,741,302.16

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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.