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Finding the Third Proportional to 322,278 and 701,903

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Solution

The third proportional to 322,278 and 701,903 is: 1,528,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,278 : 701,903 = 701,903 : x
  2. Step 2: Convert to fraction form
    322,278/701,903 = 701,903/x
  3. Step 3: Cross multiply
    322,278x = 701,903 × 701,903
  4. Step 4: Simplify right side
    322,278x = 492,667,821,409
  5. Step 5: Solve for x
    x = 492,667,821,409/322,278
  6. Step 6: Final answer
    x = 1,528,704.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.