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Finding the Third Proportional to 391,696 and 806,576

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Solution

The third proportional to 391,696 and 806,576 is: 1,660,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,696 : 806,576 = 806,576 : x
  2. Step 2: Convert to fraction form
    391,696/806,576 = 806,576/x
  3. Step 3: Cross multiply
    391,696x = 806,576 × 806,576
  4. Step 4: Simplify right side
    391,696x = 650,564,843,776
  5. Step 5: Solve for x
    x = 650,564,843,776/391,696
  6. Step 6: Final answer
    x = 1,660,892.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.