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Finding the Third Proportional to 349,108 and 533,817

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Solution

The third proportional to 349,108 and 533,817 is: 816,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,108 : 533,817 = 533,817 : x
  2. Step 2: Convert to fraction form
    349,108/533,817 = 533,817/x
  3. Step 3: Cross multiply
    349,108x = 533,817 × 533,817
  4. Step 4: Simplify right side
    349,108x = 284,960,589,489
  5. Step 5: Solve for x
    x = 284,960,589,489/349,108
  6. Step 6: Final answer
    x = 816,253.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.