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Finding the Third Proportional to 393,561 and 622,206

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Solution

The third proportional to 393,561 and 622,206 is: 983,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,561 : 622,206 = 622,206 : x
  2. Step 2: Convert to fraction form
    393,561/622,206 = 622,206/x
  3. Step 3: Cross multiply
    393,561x = 622,206 × 622,206
  4. Step 4: Simplify right side
    393,561x = 387,140,306,436
  5. Step 5: Solve for x
    x = 387,140,306,436/393,561
  6. Step 6: Final answer
    x = 983,685.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.