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Finding the Third Proportional to 259,950,766 and 403,809,226

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Solution

The third proportional to 259,950,766 and 403,809,226 is: 627,279,901.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,950,766 : 403,809,226 = 403,809,226 : x
  2. Step 2: Convert to fraction form
    259,950,766/403,809,226 = 403,809,226/x
  3. Step 3: Cross multiply
    259,950,766x = 403,809,226 × 403,809,226
  4. Step 4: Simplify right side
    259,950,766x = 163,061,891,002,719,072
  5. Step 5: Solve for x
    x = 163,061,891,002,719,072/259,950,766
  6. Step 6: Final answer
    x = 627,279,901.93

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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.