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Finding the Third Proportional to 468,301 and 622,580

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Solution

The third proportional to 468,301 and 622,580 is: 827,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,301 : 622,580 = 622,580 : x
  2. Step 2: Convert to fraction form
    468,301/622,580 = 622,580/x
  3. Step 3: Cross multiply
    468,301x = 622,580 × 622,580
  4. Step 4: Simplify right side
    468,301x = 387,605,856,400
  5. Step 5: Solve for x
    x = 387,605,856,400/468,301
  6. Step 6: Final answer
    x = 827,685.31

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.