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Finding the Third Proportional to 334,850 and 722,812

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Solution

The third proportional to 334,850 and 722,812 is: 1,560,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,850 : 722,812 = 722,812 : x
  2. Step 2: Convert to fraction form
    334,850/722,812 = 722,812/x
  3. Step 3: Cross multiply
    334,850x = 722,812 × 722,812
  4. Step 4: Simplify right side
    334,850x = 522,457,187,344
  5. Step 5: Solve for x
    x = 522,457,187,344/334,850
  6. Step 6: Final answer
    x = 1,560,272.32

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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.