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Finding the Third Proportional to 285,800 and 610,966

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Solution

The third proportional to 285,800 and 610,966 is: 1,306,086.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,800 : 610,966 = 610,966 : x
  2. Step 2: Convert to fraction form
    285,800/610,966 = 610,966/x
  3. Step 3: Cross multiply
    285,800x = 610,966 × 610,966
  4. Step 4: Simplify right side
    285,800x = 373,279,453,156
  5. Step 5: Solve for x
    x = 373,279,453,156/285,800
  6. Step 6: Final answer
    x = 1,306,086.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.