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Finding the Third Proportional to 395,944 and 863,356

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Solution

The third proportional to 395,944 and 863,356 is: 1,882,547.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,944 : 863,356 = 863,356 : x
  2. Step 2: Convert to fraction form
    395,944/863,356 = 863,356/x
  3. Step 3: Cross multiply
    395,944x = 863,356 × 863,356
  4. Step 4: Simplify right side
    395,944x = 745,383,582,736
  5. Step 5: Solve for x
    x = 745,383,582,736/395,944
  6. Step 6: Final answer
    x = 1,882,547.99

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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.