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Finding the Third Proportional to 326,314.13 and 707,067

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Solution

The third proportional to 326,314.13 and 707,067 is: 1,532,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,314.13 : 707,067 = 707,067 : x
  2. Step 2: Convert to fraction form
    326,314.13/707,067 = 707,067/x
  3. Step 3: Cross multiply
    326,314.13x = 707,067 × 707,067
  4. Step 4: Simplify right side
    326,314.13x = 499,943,742,489
  5. Step 5: Solve for x
    x = 499,943,742,489/326,314.13
  6. Step 6: Final answer
    x = 1,532,093.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.