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Finding the Third Proportional to 483,820 and 768,632

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Solution

The third proportional to 483,820 and 768,632 is: 1,221,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,820 : 768,632 = 768,632 : x
  2. Step 2: Convert to fraction form
    483,820/768,632 = 768,632/x
  3. Step 3: Cross multiply
    483,820x = 768,632 × 768,632
  4. Step 4: Simplify right side
    483,820x = 590,795,151,424
  5. Step 5: Solve for x
    x = 590,795,151,424/483,820
  6. Step 6: Final answer
    x = 1,221,105.27

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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.