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Finding the Third Proportional to 224,546 and 493,372

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Solution

The third proportional to 224,546 and 493,372 is: 1,084,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,546 : 493,372 = 493,372 : x
  2. Step 2: Convert to fraction form
    224,546/493,372 = 493,372/x
  3. Step 3: Cross multiply
    224,546x = 493,372 × 493,372
  4. Step 4: Simplify right side
    224,546x = 243,415,930,384
  5. Step 5: Solve for x
    x = 243,415,930,384/224,546
  6. Step 6: Final answer
    x = 1,084,035.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.