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Finding the Third Proportional to 225,111 and 491,694

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Solution

The third proportional to 225,111 and 491,694 is: 1,073,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,111 : 491,694 = 491,694 : x
  2. Step 2: Convert to fraction form
    225,111/491,694 = 491,694/x
  3. Step 3: Cross multiply
    225,111x = 491,694 × 491,694
  4. Step 4: Simplify right side
    225,111x = 241,762,989,636
  5. Step 5: Solve for x
    x = 241,762,989,636/225,111
  6. Step 6: Final answer
    x = 1,073,972.35

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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.