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Finding the Third Proportional to 273,802 and 401,245

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Solution

The third proportional to 273,802 and 401,245 is: 588,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,802 : 401,245 = 401,245 : x
  2. Step 2: Convert to fraction form
    273,802/401,245 = 401,245/x
  3. Step 3: Cross multiply
    273,802x = 401,245 × 401,245
  4. Step 4: Simplify right side
    273,802x = 160,997,550,025
  5. Step 5: Solve for x
    x = 160,997,550,025/273,802
  6. Step 6: Final answer
    x = 588,007.21

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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.