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Finding the Third Proportional to 226,807 and 488,281

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Solution

The third proportional to 226,807 and 488,281 is: 1,051,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,807 : 488,281 = 488,281 : x
  2. Step 2: Convert to fraction form
    226,807/488,281 = 488,281/x
  3. Step 3: Cross multiply
    226,807x = 488,281 × 488,281
  4. Step 4: Simplify right side
    226,807x = 238,418,334,961
  5. Step 5: Solve for x
    x = 238,418,334,961/226,807
  6. Step 6: Final answer
    x = 1,051,194.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.