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Finding the Third Proportional to 409,536 and 622,656

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Solution

The third proportional to 409,536 and 622,656 is: 946,682.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,536 : 622,656 = 622,656 : x
  2. Step 2: Convert to fraction form
    409,536/622,656 = 622,656/x
  3. Step 3: Cross multiply
    409,536x = 622,656 × 622,656
  4. Step 4: Simplify right side
    409,536x = 387,700,494,336
  5. Step 5: Solve for x
    x = 387,700,494,336/409,536
  6. Step 6: Final answer
    x = 946,682.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.