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Finding the Third Proportional to 273,048 and 413,388

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Solution

The third proportional to 273,048 and 413,388 is: 625,859.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,048 : 413,388 = 413,388 : x
  2. Step 2: Convert to fraction form
    273,048/413,388 = 413,388/x
  3. Step 3: Cross multiply
    273,048x = 413,388 × 413,388
  4. Step 4: Simplify right side
    273,048x = 170,889,638,544
  5. Step 5: Solve for x
    x = 170,889,638,544/273,048
  6. Step 6: Final answer
    x = 625,859.33

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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.