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Finding the Third Proportional to 422,924 and 622,701

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Solution

The third proportional to 422,924 and 622,701 is: 916,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,924 : 622,701 = 622,701 : x
  2. Step 2: Convert to fraction form
    422,924/622,701 = 622,701/x
  3. Step 3: Cross multiply
    422,924x = 622,701 × 622,701
  4. Step 4: Simplify right side
    422,924x = 387,756,535,401
  5. Step 5: Solve for x
    x = 387,756,535,401/422,924
  6. Step 6: Final answer
    x = 916,846.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.