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Finding the Third Proportional to 483,624 and 751,384

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Solution

The third proportional to 483,624 and 751,384 is: 1,167,390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,624 : 751,384 = 751,384 : x
  2. Step 2: Convert to fraction form
    483,624/751,384 = 751,384/x
  3. Step 3: Cross multiply
    483,624x = 751,384 × 751,384
  4. Step 4: Simplify right side
    483,624x = 564,577,915,456
  5. Step 5: Solve for x
    x = 564,577,915,456/483,624
  6. Step 6: Final answer
    x = 1,167,390.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.