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Finding the Third Proportional to 290,788 and 437,638

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Solution

The third proportional to 290,788 and 437,638 is: 658,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,788 : 437,638 = 437,638 : x
  2. Step 2: Convert to fraction form
    290,788/437,638 = 437,638/x
  3. Step 3: Cross multiply
    290,788x = 437,638 × 437,638
  4. Step 4: Simplify right side
    290,788x = 191,527,019,044
  5. Step 5: Solve for x
    x = 191,527,019,044/290,788
  6. Step 6: Final answer
    x = 658,648.29

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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.