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Finding the Third Proportional to 280,900,808 and 603,218,740

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Solution

The third proportional to 280,900,808 and 603,218,740 is: 1,295,378,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,900,808 : 603,218,740 = 603,218,740 : x
  2. Step 2: Convert to fraction form
    280,900,808/603,218,740 = 603,218,740/x
  3. Step 3: Cross multiply
    280,900,808x = 603,218,740 × 603,218,740
  4. Step 4: Simplify right side
    280,900,808x = 363,872,848,287,187,584
  5. Step 5: Solve for x
    x = 363,872,848,287,187,584/280,900,808
  6. Step 6: Final answer
    x = 1,295,378,432.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.