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Finding the Third Proportional to 386,898 and 852,252

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Solution

The third proportional to 386,898 and 852,252 is: 1,877,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,898 : 852,252 = 852,252 : x
  2. Step 2: Convert to fraction form
    386,898/852,252 = 852,252/x
  3. Step 3: Cross multiply
    386,898x = 852,252 × 852,252
  4. Step 4: Simplify right side
    386,898x = 726,333,471,504
  5. Step 5: Solve for x
    x = 726,333,471,504/386,898
  6. Step 6: Final answer
    x = 1,877,325.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.