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Finding the Third Proportional to 386,883 and 852,228

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Solution

The third proportional to 386,883 and 852,228 is: 1,877,292.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,883 : 852,228 = 852,228 : x
  2. Step 2: Convert to fraction form
    386,883/852,228 = 852,228/x
  3. Step 3: Cross multiply
    386,883x = 852,228 × 852,228
  4. Step 4: Simplify right side
    386,883x = 726,292,563,984
  5. Step 5: Solve for x
    x = 726,292,563,984/386,883
  6. Step 6: Final answer
    x = 1,877,292.53

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