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Finding the Third Proportional to 275,932,764 and 432,857,682

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Solution

The third proportional to 275,932,764 and 432,857,682 is: 679,026,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,932,764 : 432,857,682 = 432,857,682 : x
  2. Step 2: Convert to fraction form
    275,932,764/432,857,682 = 432,857,682/x
  3. Step 3: Cross multiply
    275,932,764x = 432,857,682 × 432,857,682
  4. Step 4: Simplify right side
    275,932,764x = 187,365,772,866,413,120
  5. Step 5: Solve for x
    x = 187,365,772,866,413,120/275,932,764
  6. Step 6: Final answer
    x = 679,026,912.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.