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Finding the Third Proportional to 246,296 and 530,588

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Solution

The third proportional to 246,296 and 530,588 is: 1,143,029.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,296 : 530,588 = 530,588 : x
  2. Step 2: Convert to fraction form
    246,296/530,588 = 530,588/x
  3. Step 3: Cross multiply
    246,296x = 530,588 × 530,588
  4. Step 4: Simplify right side
    246,296x = 281,523,625,744
  5. Step 5: Solve for x
    x = 281,523,625,744/246,296
  6. Step 6: Final answer
    x = 1,143,029.63

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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.