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Finding the Third Proportional to 259,792 and 400,632

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Solution

The third proportional to 259,792 and 400,632 is: 617,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,792 : 400,632 = 400,632 : x
  2. Step 2: Convert to fraction form
    259,792/400,632 = 400,632/x
  3. Step 3: Cross multiply
    259,792x = 400,632 × 400,632
  4. Step 4: Simplify right side
    259,792x = 160,505,999,424
  5. Step 5: Solve for x
    x = 160,505,999,424/259,792
  6. Step 6: Final answer
    x = 617,825.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.