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Finding the Third Proportional to 285,191 and 619,651

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Solution

The third proportional to 285,191 and 619,651 is: 1,346,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,191 : 619,651 = 619,651 : x
  2. Step 2: Convert to fraction form
    285,191/619,651 = 619,651/x
  3. Step 3: Cross multiply
    285,191x = 619,651 × 619,651
  4. Step 4: Simplify right side
    285,191x = 383,967,361,801
  5. Step 5: Solve for x
    x = 383,967,361,801/285,191
  6. Step 6: Final answer
    x = 1,346,351.61

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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.