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Finding the Third Proportional to 335,072 and 722,626

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Solution

The third proportional to 335,072 and 722,626 is: 1,558,436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,072 : 722,626 = 722,626 : x
  2. Step 2: Convert to fraction form
    335,072/722,626 = 722,626/x
  3. Step 3: Cross multiply
    335,072x = 722,626 × 722,626
  4. Step 4: Simplify right side
    335,072x = 522,188,335,876
  5. Step 5: Solve for x
    x = 522,188,335,876/335,072
  6. Step 6: Final answer
    x = 1,558,436.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.