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Finding the Third Proportional to 406,950 and 622,521

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Solution

The third proportional to 406,950 and 622,521 is: 952,285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,950 : 622,521 = 622,521 : x
  2. Step 2: Convert to fraction form
    406,950/622,521 = 622,521/x
  3. Step 3: Cross multiply
    406,950x = 622,521 × 622,521
  4. Step 4: Simplify right side
    406,950x = 387,532,395,441
  5. Step 5: Solve for x
    x = 387,532,395,441/406,950
  6. Step 6: Final answer
    x = 952,285.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.