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Finding the Third Proportional to 326,933 and 439,347

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Solution

The third proportional to 326,933 and 439,347 is: 590,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,933 : 439,347 = 439,347 : x
  2. Step 2: Convert to fraction form
    326,933/439,347 = 439,347/x
  3. Step 3: Cross multiply
    326,933x = 439,347 × 439,347
  4. Step 4: Simplify right side
    326,933x = 193,025,786,409
  5. Step 5: Solve for x
    x = 193,025,786,409/326,933
  6. Step 6: Final answer
    x = 590,413.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.