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Finding the Third Proportional to 233,647,578 and 498,567,676

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Solution

The third proportional to 233,647,578 and 498,567,676 is: 1,063,866,057.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,578 : 498,567,676 = 498,567,676 : x
  2. Step 2: Convert to fraction form
    233,647,578/498,567,676 = 498,567,676/x
  3. Step 3: Cross multiply
    233,647,578x = 498,567,676 × 498,567,676
  4. Step 4: Simplify right side
    233,647,578x = 248,569,727,552,040,960
  5. Step 5: Solve for x
    x = 248,569,727,552,040,960/233,647,578
  6. Step 6: Final answer
    x = 1,063,866,057.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.