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Finding the Third Proportional to 248,654 and 394,334

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Solution

The third proportional to 248,654 and 394,334 is: 625,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,654 : 394,334 = 394,334 : x
  2. Step 2: Convert to fraction form
    248,654/394,334 = 394,334/x
  3. Step 3: Cross multiply
    248,654x = 394,334 × 394,334
  4. Step 4: Simplify right side
    248,654x = 155,499,303,556
  5. Step 5: Solve for x
    x = 155,499,303,556/248,654
  6. Step 6: Final answer
    x = 625,364.17

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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.