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Finding the Third Proportional to 259,900 and 388,792

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Solution

The third proportional to 259,900 and 388,792 is: 581,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,900 : 388,792 = 388,792 : x
  2. Step 2: Convert to fraction form
    259,900/388,792 = 388,792/x
  3. Step 3: Cross multiply
    259,900x = 388,792 × 388,792
  4. Step 4: Simplify right side
    259,900x = 151,159,219,264
  5. Step 5: Solve for x
    x = 151,159,219,264/259,900
  6. Step 6: Final answer
    x = 581,605.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.