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Finding the Third Proportional to 285,041 and 619,366

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Solution

The third proportional to 285,041 and 619,366 is: 1,345,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,041 : 619,366 = 619,366 : x
  2. Step 2: Convert to fraction form
    285,041/619,366 = 619,366/x
  3. Step 3: Cross multiply
    285,041x = 619,366 × 619,366
  4. Step 4: Simplify right side
    285,041x = 383,614,241,956
  5. Step 5: Solve for x
    x = 383,614,241,956/285,041
  6. Step 6: Final answer
    x = 1,345,821.27

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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.