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Finding the Third Proportional to 322,011.75 and 699,381.75

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Solution

The third proportional to 322,011.75 and 699,381.75 is: 1,518,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,011.75 : 699,381.75 = 699,381.75 : x
  2. Step 2: Convert to fraction form
    322,011.75/699,381.75 = 699,381.75/x
  3. Step 3: Cross multiply
    322,011.75x = 699,381.75 × 699,381.75
  4. Step 4: Simplify right side
    322,011.75x = 489,134,832,233.06
  5. Step 5: Solve for x
    x = 489,134,832,233.06/322,011.75
  6. Step 6: Final answer
    x = 1,518,996.84

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