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Finding the Third Proportional to 273,796 and 401,236

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Solution

The third proportional to 273,796 and 401,236 is: 587,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,796 : 401,236 = 401,236 : x
  2. Step 2: Convert to fraction form
    273,796/401,236 = 401,236/x
  3. Step 3: Cross multiply
    273,796x = 401,236 × 401,236
  4. Step 4: Simplify right side
    273,796x = 160,990,327,696
  5. Step 5: Solve for x
    x = 160,990,327,696/273,796
  6. Step 6: Final answer
    x = 587,993.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.