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Finding the Third Proportional to 246,270 and 530,204

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Solution

The third proportional to 246,270 and 530,204 is: 1,141,496.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,270 : 530,204 = 530,204 : x
  2. Step 2: Convert to fraction form
    246,270/530,204 = 530,204/x
  3. Step 3: Cross multiply
    246,270x = 530,204 × 530,204
  4. Step 4: Simplify right side
    246,270x = 281,116,281,616
  5. Step 5: Solve for x
    x = 281,116,281,616/246,270
  6. Step 6: Final answer
    x = 1,141,496.25

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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.