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Finding the Third Proportional to 281,831 and 591,356

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Solution

The third proportional to 281,831 and 591,356 is: 1,240,821.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,831 : 591,356 = 591,356 : x
  2. Step 2: Convert to fraction form
    281,831/591,356 = 591,356/x
  3. Step 3: Cross multiply
    281,831x = 591,356 × 591,356
  4. Step 4: Simplify right side
    281,831x = 349,701,918,736
  5. Step 5: Solve for x
    x = 349,701,918,736/281,831
  6. Step 6: Final answer
    x = 1,240,821.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.