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Finding the Third Proportional to 319,055 and 696,067

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Solution

The third proportional to 319,055 and 696,067 is: 1,518,576.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,055 : 696,067 = 696,067 : x
  2. Step 2: Convert to fraction form
    319,055/696,067 = 696,067/x
  3. Step 3: Cross multiply
    319,055x = 696,067 × 696,067
  4. Step 4: Simplify right side
    319,055x = 484,509,268,489
  5. Step 5: Solve for x
    x = 484,509,268,489/319,055
  6. Step 6: Final answer
    x = 1,518,576.01

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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.