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Finding the Third Proportional to 224,573 and 480,262

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Solution

The third proportional to 224,573 and 480,262 is: 1,027,067.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,573 : 480,262 = 480,262 : x
  2. Step 2: Convert to fraction form
    224,573/480,262 = 480,262/x
  3. Step 3: Cross multiply
    224,573x = 480,262 × 480,262
  4. Step 4: Simplify right side
    224,573x = 230,651,588,644
  5. Step 5: Solve for x
    x = 230,651,588,644/224,573
  6. Step 6: Final answer
    x = 1,027,067.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.