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Finding the Third Proportional to 326,036 and 691,324

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Solution

The third proportional to 326,036 and 691,324 is: 1,465,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,036 : 691,324 = 691,324 : x
  2. Step 2: Convert to fraction form
    326,036/691,324 = 691,324/x
  3. Step 3: Cross multiply
    326,036x = 691,324 × 691,324
  4. Step 4: Simplify right side
    326,036x = 477,928,872,976
  5. Step 5: Solve for x
    x = 477,928,872,976/326,036
  6. Step 6: Final answer
    x = 1,465,877.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.