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Finding the Third Proportional to 335,686 and 730,398

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Solution

The third proportional to 335,686 and 730,398 is: 1,589,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,686 : 730,398 = 730,398 : x
  2. Step 2: Convert to fraction form
    335,686/730,398 = 730,398/x
  3. Step 3: Cross multiply
    335,686x = 730,398 × 730,398
  4. Step 4: Simplify right side
    335,686x = 533,481,238,404
  5. Step 5: Solve for x
    x = 533,481,238,404/335,686
  6. Step 6: Final answer
    x = 1,589,226.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.