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Finding the Third Proportional to 326,622 and 489,933

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Solution

The third proportional to 326,622 and 489,933 is: 734,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,622 : 489,933 = 489,933 : x
  2. Step 2: Convert to fraction form
    326,622/489,933 = 489,933/x
  3. Step 3: Cross multiply
    326,622x = 489,933 × 489,933
  4. Step 4: Simplify right side
    326,622x = 240,034,344,489
  5. Step 5: Solve for x
    x = 240,034,344,489/326,622
  6. Step 6: Final answer
    x = 734,899.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.