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Finding the Third Proportional to 224,403 and 480,327

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Solution

The third proportional to 224,403 and 480,327 is: 1,028,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,403 : 480,327 = 480,327 : x
  2. Step 2: Convert to fraction form
    224,403/480,327 = 480,327/x
  3. Step 3: Cross multiply
    224,403x = 480,327 × 480,327
  4. Step 4: Simplify right side
    224,403x = 230,714,026,929
  5. Step 5: Solve for x
    x = 230,714,026,929/224,403
  6. Step 6: Final answer
    x = 1,028,123.63

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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.