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Finding the Third Proportional to 246,284 and 530,234

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Solution

The third proportional to 246,284 and 530,234 is: 1,141,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,284 : 530,234 = 530,234 : x
  2. Step 2: Convert to fraction form
    246,284/530,234 = 530,234/x
  3. Step 3: Cross multiply
    246,284x = 530,234 × 530,234
  4. Step 4: Simplify right side
    246,284x = 281,148,094,756
  5. Step 5: Solve for x
    x = 281,148,094,756/246,284
  6. Step 6: Final answer
    x = 1,141,560.53

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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.