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Finding the Third Proportional to 233,231,320 and 539,944,794

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Solution

The third proportional to 233,231,320 and 539,944,794 is: 1,250,005,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231,320 : 539,944,794 = 539,944,794 : x
  2. Step 2: Convert to fraction form
    233,231,320/539,944,794 = 539,944,794/x
  3. Step 3: Cross multiply
    233,231,320x = 539,944,794 × 539,944,794
  4. Step 4: Simplify right side
    233,231,320x = 291,540,380,567,702,464
  5. Step 5: Solve for x
    x = 291,540,380,567,702,464/233,231,320
  6. Step 6: Final answer
    x = 1,250,005,276.17

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.