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Finding the Third Proportional to 467,236 and 731,993

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Solution

The third proportional to 467,236 and 731,993 is: 1,146,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,236 : 731,993 = 731,993 : x
  2. Step 2: Convert to fraction form
    467,236/731,993 = 731,993/x
  3. Step 3: Cross multiply
    467,236x = 731,993 × 731,993
  4. Step 4: Simplify right side
    467,236x = 535,813,752,049
  5. Step 5: Solve for x
    x = 535,813,752,049/467,236
  6. Step 6: Final answer
    x = 1,146,773.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.