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Finding the Third Proportional to 226,814 and 493,036

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Solution

The third proportional to 226,814 and 493,036 is: 1,071,734.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,814 : 493,036 = 493,036 : x
  2. Step 2: Convert to fraction form
    226,814/493,036 = 493,036/x
  3. Step 3: Cross multiply
    226,814x = 493,036 × 493,036
  4. Step 4: Simplify right side
    226,814x = 243,084,497,296
  5. Step 5: Solve for x
    x = 243,084,497,296/226,814
  6. Step 6: Final answer
    x = 1,071,734.98

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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.