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Finding the Third Proportional to 395,888 and 863,229

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Solution

The third proportional to 395,888 and 863,229 is: 1,882,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,888 : 863,229 = 863,229 : x
  2. Step 2: Convert to fraction form
    395,888/863,229 = 863,229/x
  3. Step 3: Cross multiply
    395,888x = 863,229 × 863,229
  4. Step 4: Simplify right side
    395,888x = 745,164,306,441
  5. Step 5: Solve for x
    x = 745,164,306,441/395,888
  6. Step 6: Final answer
    x = 1,882,260.40

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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.