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Finding the Third Proportional to 360,431,286 and 541,606,632

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Solution

The third proportional to 360,431,286 and 541,606,632 is: 813,852,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,431,286 : 541,606,632 = 541,606,632 : x
  2. Step 2: Convert to fraction form
    360,431,286/541,606,632 = 541,606,632/x
  3. Step 3: Cross multiply
    360,431,286x = 541,606,632 × 541,606,632
  4. Step 4: Simplify right side
    360,431,286x = 293,337,743,826,383,424
  5. Step 5: Solve for x
    x = 293,337,743,826,383,424/360,431,286
  6. Step 6: Final answer
    x = 813,852,057.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.