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Finding the Third Proportional to 285,713 and 603,234

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Solution

The third proportional to 285,713 and 603,234 is: 1,273,625.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,713 : 603,234 = 603,234 : x
  2. Step 2: Convert to fraction form
    285,713/603,234 = 603,234/x
  3. Step 3: Cross multiply
    285,713x = 603,234 × 603,234
  4. Step 4: Simplify right side
    285,713x = 363,891,258,756
  5. Step 5: Solve for x
    x = 363,891,258,756/285,713
  6. Step 6: Final answer
    x = 1,273,625.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.