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Finding the Third Proportional to 225,976 and 491,273

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Solution

The third proportional to 225,976 and 491,273 is: 1,068,030.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,976 : 491,273 = 491,273 : x
  2. Step 2: Convert to fraction form
    225,976/491,273 = 491,273/x
  3. Step 3: Cross multiply
    225,976x = 491,273 × 491,273
  4. Step 4: Simplify right side
    225,976x = 241,349,160,529
  5. Step 5: Solve for x
    x = 241,349,160,529/225,976
  6. Step 6: Final answer
    x = 1,068,030.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.