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Finding the Third Proportional to 227,127 and 491,873

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Solution

The third proportional to 227,127 and 491,873 is: 1,065,214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,127 : 491,873 = 491,873 : x
  2. Step 2: Convert to fraction form
    227,127/491,873 = 491,873/x
  3. Step 3: Cross multiply
    227,127x = 491,873 × 491,873
  4. Step 4: Simplify right side
    227,127x = 241,939,048,129
  5. Step 5: Solve for x
    x = 241,939,048,129/227,127
  6. Step 6: Final answer
    x = 1,065,214.83

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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.