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Finding the Third Proportional to 230,728 and 500,624

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Solution

The third proportional to 230,728 and 500,624 is: 1,086,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,728 : 500,624 = 500,624 : x
  2. Step 2: Convert to fraction form
    230,728/500,624 = 500,624/x
  3. Step 3: Cross multiply
    230,728x = 500,624 × 500,624
  4. Step 4: Simplify right side
    230,728x = 250,624,389,376
  5. Step 5: Solve for x
    x = 250,624,389,376/230,728
  6. Step 6: Final answer
    x = 1,086,233.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.