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Finding the Third Proportional to 224,967 and 475,221

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Solution

The third proportional to 224,967 and 475,221 is: 1,003,858.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,967 : 475,221 = 475,221 : x
  2. Step 2: Convert to fraction form
    224,967/475,221 = 475,221/x
  3. Step 3: Cross multiply
    224,967x = 475,221 × 475,221
  4. Step 4: Simplify right side
    224,967x = 225,834,998,841
  5. Step 5: Solve for x
    x = 225,834,998,841/224,967
  6. Step 6: Final answer
    x = 1,003,858.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.