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Finding the Third Proportional to 283,437 and 622,163

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Solution

The third proportional to 283,437 and 622,163 is: 1,365,689.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,437 : 622,163 = 622,163 : x
  2. Step 2: Convert to fraction form
    283,437/622,163 = 622,163/x
  3. Step 3: Cross multiply
    283,437x = 622,163 × 622,163
  4. Step 4: Simplify right side
    283,437x = 387,086,798,569
  5. Step 5: Solve for x
    x = 387,086,798,569/283,437
  6. Step 6: Final answer
    x = 1,365,689.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.