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Finding the Third Proportional to 263,384,793 and 578,910,658.50

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Solution

The third proportional to 263,384,793 and 578,910,658.50 is: 1,272,425,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,384,793 : 578,910,658.50 = 578,910,658.50 : x
  2. Step 2: Convert to fraction form
    263,384,793/578,910,658.50 = 578,910,658.50/x
  3. Step 3: Cross multiply
    263,384,793x = 578,910,658.50 × 578,910,658.50
  4. Step 4: Simplify right side
    263,384,793x = 335,137,550,524,903,616
  5. Step 5: Solve for x
    x = 335,137,550,524,903,616/263,384,793
  6. Step 6: Final answer
    x = 1,272,425,589.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.