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Finding the Third Proportional to 246,767 and 530,965

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Solution

The third proportional to 246,767 and 530,965 is: 1,142,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,767 : 530,965 = 530,965 : x
  2. Step 2: Convert to fraction form
    246,767/530,965 = 530,965/x
  3. Step 3: Cross multiply
    246,767x = 530,965 × 530,965
  4. Step 4: Simplify right side
    246,767x = 281,923,831,225
  5. Step 5: Solve for x
    x = 281,923,831,225/246,767
  6. Step 6: Final answer
    x = 1,142,469.74

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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.