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Finding the Third Proportional to 248,872 and 384,309

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Solution

The third proportional to 248,872 and 384,309 is: 593,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,872 : 384,309 = 384,309 : x
  2. Step 2: Convert to fraction form
    248,872/384,309 = 384,309/x
  3. Step 3: Cross multiply
    248,872x = 384,309 × 384,309
  4. Step 4: Simplify right side
    248,872x = 147,693,407,481
  5. Step 5: Solve for x
    x = 147,693,407,481/248,872
  6. Step 6: Final answer
    x = 593,451.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.