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Finding the Third Proportional to 325,578 and 703,792

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Solution

The third proportional to 325,578 and 703,792 is: 1,521,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,578 : 703,792 = 703,792 : x
  2. Step 2: Convert to fraction form
    325,578/703,792 = 703,792/x
  3. Step 3: Cross multiply
    325,578x = 703,792 × 703,792
  4. Step 4: Simplify right side
    325,578x = 495,323,179,264
  5. Step 5: Solve for x
    x = 495,323,179,264/325,578
  6. Step 6: Final answer
    x = 1,521,365.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.