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Finding the Third Proportional to 297,532,251 and 694,786,518

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Solution

The third proportional to 297,532,251 and 694,786,518 is: 1,622,440,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,532,251 : 694,786,518 = 694,786,518 : x
  2. Step 2: Convert to fraction form
    297,532,251/694,786,518 = 694,786,518/x
  3. Step 3: Cross multiply
    297,532,251x = 694,786,518 × 694,786,518
  4. Step 4: Simplify right side
    297,532,251x = 482,728,305,594,564,352
  5. Step 5: Solve for x
    x = 482,728,305,594,564,352/297,532,251
  6. Step 6: Final answer
    x = 1,622,440,269.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.