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Finding the Third Proportional to 325,401 and 703,443

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Solution

The third proportional to 325,401 and 703,443 is: 1,520,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,401 : 703,443 = 703,443 : x
  2. Step 2: Convert to fraction form
    325,401/703,443 = 703,443/x
  3. Step 3: Cross multiply
    325,401x = 703,443 × 703,443
  4. Step 4: Simplify right side
    325,401x = 494,832,054,249
  5. Step 5: Solve for x
    x = 494,832,054,249/325,401
  6. Step 6: Final answer
    x = 1,520,683.88

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Why These Related Problems?

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