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Finding the Third Proportional to 225,956 and 491,260

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Solution

The third proportional to 225,956 and 491,260 is: 1,068,068.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,956 : 491,260 = 491,260 : x
  2. Step 2: Convert to fraction form
    225,956/491,260 = 491,260/x
  3. Step 3: Cross multiply
    225,956x = 491,260 × 491,260
  4. Step 4: Simplify right side
    225,956x = 241,336,387,600
  5. Step 5: Solve for x
    x = 241,336,387,600/225,956
  6. Step 6: Final answer
    x = 1,068,068.06

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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.