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Finding the Third Proportional to 383,819,204 and 547,019,800

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Solution

The third proportional to 383,819,204 and 547,019,800 is: 779,613,574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,819,204 : 547,019,800 = 547,019,800 : x
  2. Step 2: Convert to fraction form
    383,819,204/547,019,800 = 547,019,800/x
  3. Step 3: Cross multiply
    383,819,204x = 547,019,800 × 547,019,800
  4. Step 4: Simplify right side
    383,819,204x = 299,230,661,592,040,000
  5. Step 5: Solve for x
    x = 299,230,661,592,040,000/383,819,204
  6. Step 6: Final answer
    x = 779,613,574.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.