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Finding the Third Proportional to 246,330 and 530,642

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Solution

The third proportional to 246,330 and 530,642 is: 1,143,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,330 : 530,642 = 530,642 : x
  2. Step 2: Convert to fraction form
    246,330/530,642 = 530,642/x
  3. Step 3: Cross multiply
    246,330x = 530,642 × 530,642
  4. Step 4: Simplify right side
    246,330x = 281,580,932,164
  5. Step 5: Solve for x
    x = 281,580,932,164/246,330
  6. Step 6: Final answer
    x = 1,143,104.50

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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.