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Finding the Third Proportional to 273,942 and 401,436

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Solution

The third proportional to 273,942 and 401,436 is: 588,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,942 : 401,436 = 401,436 : x
  2. Step 2: Convert to fraction form
    273,942/401,436 = 401,436/x
  3. Step 3: Cross multiply
    273,942x = 401,436 × 401,436
  4. Step 4: Simplify right side
    273,942x = 161,150,862,096
  5. Step 5: Solve for x
    x = 161,150,862,096/273,942
  6. Step 6: Final answer
    x = 588,266.36

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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.