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Finding the Third Proportional to 291,936 and 439,993

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Solution

The third proportional to 291,936 and 439,993 is: 663,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,936 : 439,993 = 439,993 : x
  2. Step 2: Convert to fraction form
    291,936/439,993 = 439,993/x
  3. Step 3: Cross multiply
    291,936x = 439,993 × 439,993
  4. Step 4: Simplify right side
    291,936x = 193,593,840,049
  5. Step 5: Solve for x
    x = 193,593,840,049/291,936
  6. Step 6: Final answer
    x = 663,137.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.