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Finding the Third Proportional to 273,056 and 413,400

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Solution

The third proportional to 273,056 and 413,400 is: 625,877.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,056 : 413,400 = 413,400 : x
  2. Step 2: Convert to fraction form
    273,056/413,400 = 413,400/x
  3. Step 3: Cross multiply
    273,056x = 413,400 × 413,400
  4. Step 4: Simplify right side
    273,056x = 170,899,560,000
  5. Step 5: Solve for x
    x = 170,899,560,000/273,056
  6. Step 6: Final answer
    x = 625,877.33

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Why These Related Problems?

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