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Finding the Third Proportional to 483,822 and 768,635

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Solution

The third proportional to 483,822 and 768,635 is: 1,221,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,822 : 768,635 = 768,635 : x
  2. Step 2: Convert to fraction form
    483,822/768,635 = 768,635/x
  3. Step 3: Cross multiply
    483,822x = 768,635 × 768,635
  4. Step 4: Simplify right side
    483,822x = 590,799,763,225
  5. Step 5: Solve for x
    x = 590,799,763,225/483,822
  6. Step 6: Final answer
    x = 1,221,109.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.