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Finding the Third Proportional to 248,976 and 379,224

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Solution

The third proportional to 248,976 and 379,224 is: 577,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,976 : 379,224 = 379,224 : x
  2. Step 2: Convert to fraction form
    248,976/379,224 = 379,224/x
  3. Step 3: Cross multiply
    248,976x = 379,224 × 379,224
  4. Step 4: Simplify right side
    248,976x = 143,810,842,176
  5. Step 5: Solve for x
    x = 143,810,842,176/248,976
  6. Step 6: Final answer
    x = 577,609.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.