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Finding the Third Proportional to 354,910 and 536,601

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Solution

The third proportional to 354,910 and 536,601 is: 811,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,910 : 536,601 = 536,601 : x
  2. Step 2: Convert to fraction form
    354,910/536,601 = 536,601/x
  3. Step 3: Cross multiply
    354,910x = 536,601 × 536,601
  4. Step 4: Simplify right side
    354,910x = 287,940,633,201
  5. Step 5: Solve for x
    x = 287,940,633,201/354,910
  6. Step 6: Final answer
    x = 811,306.06

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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.