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Finding the Third Proportional to 445,205 and 622,771

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Solution

The third proportional to 445,205 and 622,771 is: 871,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,205 : 622,771 = 622,771 : x
  2. Step 2: Convert to fraction form
    445,205/622,771 = 622,771/x
  3. Step 3: Cross multiply
    445,205x = 622,771 × 622,771
  4. Step 4: Simplify right side
    445,205x = 387,843,718,441
  5. Step 5: Solve for x
    x = 387,843,718,441/445,205
  6. Step 6: Final answer
    x = 871,157.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.