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Finding the Third Proportional to 325,517 and 713,098

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Solution

The third proportional to 325,517 and 713,098 is: 1,562,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,517 : 713,098 = 713,098 : x
  2. Step 2: Convert to fraction form
    325,517/713,098 = 713,098/x
  3. Step 3: Cross multiply
    325,517x = 713,098 × 713,098
  4. Step 4: Simplify right side
    325,517x = 508,508,757,604
  5. Step 5: Solve for x
    x = 508,508,757,604/325,517
  6. Step 6: Final answer
    x = 1,562,157.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.