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Finding the Third Proportional to 311,517,234 and 484,267,068

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Solution

The third proportional to 311,517,234 and 484,267,068 is: 752,814,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,517,234 : 484,267,068 = 484,267,068 : x
  2. Step 2: Convert to fraction form
    311,517,234/484,267,068 = 484,267,068/x
  3. Step 3: Cross multiply
    311,517,234x = 484,267,068 × 484,267,068
  4. Step 4: Simplify right side
    311,517,234x = 234,514,593,149,316,608
  5. Step 5: Solve for x
    x = 234,514,593,149,316,608/311,517,234
  6. Step 6: Final answer
    x = 752,814,186.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.