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Finding the Third Proportional to 248,944 and 395,808

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Solution

The third proportional to 248,944 and 395,808 is: 629,314.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,944 : 395,808 = 395,808 : x
  2. Step 2: Convert to fraction form
    248,944/395,808 = 395,808/x
  3. Step 3: Cross multiply
    248,944x = 395,808 × 395,808
  4. Step 4: Simplify right side
    248,944x = 156,663,972,864
  5. Step 5: Solve for x
    x = 156,663,972,864/248,944
  6. Step 6: Final answer
    x = 629,314.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.