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Finding the Third Proportional to 311,704,934 and 677,665,342

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Solution

The third proportional to 311,704,934 and 677,665,342 is: 1,473,285,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,704,934 : 677,665,342 = 677,665,342 : x
  2. Step 2: Convert to fraction form
    311,704,934/677,665,342 = 677,665,342/x
  3. Step 3: Cross multiply
    311,704,934x = 677,665,342 × 677,665,342
  4. Step 4: Simplify right side
    311,704,934x = 459,230,315,747,976,960
  5. Step 5: Solve for x
    x = 459,230,315,747,976,960/311,704,934
  6. Step 6: Final answer
    x = 1,473,285,359.51

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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.