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Finding the Third Proportional to 223,003 and 480,997

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Solution

The third proportional to 223,003 and 480,997 is: 1,037,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,003 : 480,997 = 480,997 : x
  2. Step 2: Convert to fraction form
    223,003/480,997 = 480,997/x
  3. Step 3: Cross multiply
    223,003x = 480,997 × 480,997
  4. Step 4: Simplify right side
    223,003x = 231,358,114,009
  5. Step 5: Solve for x
    x = 231,358,114,009/223,003
  6. Step 6: Final answer
    x = 1,037,466.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.