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Finding the Third Proportional to 392,706 and 814,554

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Solution

The third proportional to 392,706 and 814,554 is: 1,689,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,706 : 814,554 = 814,554 : x
  2. Step 2: Convert to fraction form
    392,706/814,554 = 814,554/x
  3. Step 3: Cross multiply
    392,706x = 814,554 × 814,554
  4. Step 4: Simplify right side
    392,706x = 663,498,218,916
  5. Step 5: Solve for x
    x = 663,498,218,916/392,706
  6. Step 6: Final answer
    x = 1,689,554.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.