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Finding the Third Proportional to 335,724 and 725,067

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Solution

The third proportional to 335,724 and 725,067 is: 1,565,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,724 : 725,067 = 725,067 : x
  2. Step 2: Convert to fraction form
    335,724/725,067 = 725,067/x
  3. Step 3: Cross multiply
    335,724x = 725,067 × 725,067
  4. Step 4: Simplify right side
    335,724x = 525,722,154,489
  5. Step 5: Solve for x
    x = 525,722,154,489/335,724
  6. Step 6: Final answer
    x = 1,565,935.57

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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.