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Finding the Third Proportional to 290,436 and 467,898

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Solution

The third proportional to 290,436 and 467,898 is: 753,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,436 : 467,898 = 467,898 : x
  2. Step 2: Convert to fraction form
    290,436/467,898 = 467,898/x
  3. Step 3: Cross multiply
    290,436x = 467,898 × 467,898
  4. Step 4: Simplify right side
    290,436x = 218,928,538,404
  5. Step 5: Solve for x
    x = 218,928,538,404/290,436
  6. Step 6: Final answer
    x = 753,792.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.