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Finding the Third Proportional to 226,802 and 488,272

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Solution

The third proportional to 226,802 and 488,272 is: 1,051,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,802 : 488,272 = 488,272 : x
  2. Step 2: Convert to fraction form
    226,802/488,272 = 488,272/x
  3. Step 3: Cross multiply
    226,802x = 488,272 × 488,272
  4. Step 4: Simplify right side
    226,802x = 238,409,545,984
  5. Step 5: Solve for x
    x = 238,409,545,984/226,802
  6. Step 6: Final answer
    x = 1,051,179.20

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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.