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Finding the Third Proportional to 224,392 and 491,021

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Solution

The third proportional to 224,392 and 491,021 is: 1,074,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,392 : 491,021 = 491,021 : x
  2. Step 2: Convert to fraction form
    224,392/491,021 = 491,021/x
  3. Step 3: Cross multiply
    224,392x = 491,021 × 491,021
  4. Step 4: Simplify right side
    224,392x = 241,101,622,441
  5. Step 5: Solve for x
    x = 241,101,622,441/224,392
  6. Step 6: Final answer
    x = 1,074,466.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.