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Finding the Third Proportional to 259,246,520 and 379,027,468

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Solution

The third proportional to 259,246,520 and 379,027,468 is: 554,151,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,246,520 : 379,027,468 = 379,027,468 : x
  2. Step 2: Convert to fraction form
    259,246,520/379,027,468 = 379,027,468/x
  3. Step 3: Cross multiply
    259,246,520x = 379,027,468 × 379,027,468
  4. Step 4: Simplify right side
    259,246,520x = 143,661,821,498,491,024
  5. Step 5: Solve for x
    x = 143,661,821,498,491,024/259,246,520
  6. Step 6: Final answer
    x = 554,151,398.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.