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Finding the Third Proportional to 273,578 and 437,048

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Solution

The third proportional to 273,578 and 437,048 is: 698,195.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,578 : 437,048 = 437,048 : x
  2. Step 2: Convert to fraction form
    273,578/437,048 = 437,048/x
  3. Step 3: Cross multiply
    273,578x = 437,048 × 437,048
  4. Step 4: Simplify right side
    273,578x = 191,010,954,304
  5. Step 5: Solve for x
    x = 191,010,954,304/273,578
  6. Step 6: Final answer
    x = 698,195.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.