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Finding the Third Proportional to 337,842 and 728,052

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Solution

The third proportional to 337,842 and 728,052 is: 1,568,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,842 : 728,052 = 728,052 : x
  2. Step 2: Convert to fraction form
    337,842/728,052 = 728,052/x
  3. Step 3: Cross multiply
    337,842x = 728,052 × 728,052
  4. Step 4: Simplify right side
    337,842x = 530,059,714,704
  5. Step 5: Solve for x
    x = 530,059,714,704/337,842
  6. Step 6: Final answer
    x = 1,568,957.43

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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.