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Finding the Third Proportional to 387,252 and 843,399

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Solution

The third proportional to 387,252 and 843,399 is: 1,836,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,252 : 843,399 = 843,399 : x
  2. Step 2: Convert to fraction form
    387,252/843,399 = 843,399/x
  3. Step 3: Cross multiply
    387,252x = 843,399 × 843,399
  4. Step 4: Simplify right side
    387,252x = 711,321,873,201
  5. Step 5: Solve for x
    x = 711,321,873,201/387,252
  6. Step 6: Final answer
    x = 1,836,844.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.