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Finding the Third Proportional to 270,208 and 587,984

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Solution

The third proportional to 270,208 and 587,984 is: 1,279,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,208 : 587,984 = 587,984 : x
  2. Step 2: Convert to fraction form
    270,208/587,984 = 587,984/x
  3. Step 3: Cross multiply
    270,208x = 587,984 × 587,984
  4. Step 4: Simplify right side
    270,208x = 345,725,184,256
  5. Step 5: Solve for x
    x = 345,725,184,256/270,208
  6. Step 6: Final answer
    x = 1,279,477.97

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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.