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Finding the Third Proportional to 538,676,233.88 and 758,244,277.13

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Solution

The third proportional to 538,676,233.88 and 758,244,277.13 is: 1,067,309,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,676,233.88 : 758,244,277.13 = 758,244,277.13 : x
  2. Step 2: Convert to fraction form
    538,676,233.88/758,244,277.13 = 758,244,277.13/x
  3. Step 3: Cross multiply
    538,676,233.88x = 758,244,277.13 × 758,244,277.13
  4. Step 4: Simplify right side
    538,676,233.88x = 574,934,383,792,813,824
  5. Step 5: Solve for x
    x = 574,934,383,792,813,824/538,676,233.88
  6. Step 6: Final answer
    x = 1,067,309,726.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.