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Finding the Third Proportional to 273,474 and 413,984

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Solution

The third proportional to 273,474 and 413,984 is: 626,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,474 : 413,984 = 413,984 : x
  2. Step 2: Convert to fraction form
    273,474/413,984 = 413,984/x
  3. Step 3: Cross multiply
    273,474x = 413,984 × 413,984
  4. Step 4: Simplify right side
    273,474x = 171,382,752,256
  5. Step 5: Solve for x
    x = 171,382,752,256/273,474
  6. Step 6: Final answer
    x = 626,687.55

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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.