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Finding the Third Proportional to 259,796,760 and 571,018,800

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Solution

The third proportional to 259,796,760 and 571,018,800 is: 1,255,067,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,796,760 : 571,018,800 = 571,018,800 : x
  2. Step 2: Convert to fraction form
    259,796,760/571,018,800 = 571,018,800/x
  3. Step 3: Cross multiply
    259,796,760x = 571,018,800 × 571,018,800
  4. Step 4: Simplify right side
    259,796,760x = 326,062,469,953,440,000
  5. Step 5: Solve for x
    x = 326,062,469,953,440,000/259,796,760
  6. Step 6: Final answer
    x = 1,255,067,499.51

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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.