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Finding the Third Proportional to 246,633 and 530,697

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Solution

The third proportional to 246,633 and 530,697 is: 1,141,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,633 : 530,697 = 530,697 : x
  2. Step 2: Convert to fraction form
    246,633/530,697 = 530,697/x
  3. Step 3: Cross multiply
    246,633x = 530,697 × 530,697
  4. Step 4: Simplify right side
    246,633x = 281,639,305,809
  5. Step 5: Solve for x
    x = 281,639,305,809/246,633
  6. Step 6: Final answer
    x = 1,141,936.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.