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Finding the Third Proportional to 227,272 and 493,856

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Solution

The third proportional to 227,272 and 493,856 is: 1,073,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,272 : 493,856 = 493,856 : x
  2. Step 2: Convert to fraction form
    227,272/493,856 = 493,856/x
  3. Step 3: Cross multiply
    227,272x = 493,856 × 493,856
  4. Step 4: Simplify right side
    227,272x = 243,893,748,736
  5. Step 5: Solve for x
    x = 243,893,748,736/227,272
  6. Step 6: Final answer
    x = 1,073,135.93

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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.