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Finding the Third Proportional to 224,440 and 491,112

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Solution

The third proportional to 224,440 and 491,112 is: 1,074,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,440 : 491,112 = 491,112 : x
  2. Step 2: Convert to fraction form
    224,440/491,112 = 491,112/x
  3. Step 3: Cross multiply
    224,440x = 491,112 × 491,112
  4. Step 4: Simplify right side
    224,440x = 241,190,996,544
  5. Step 5: Solve for x
    x = 241,190,996,544/224,440
  6. Step 6: Final answer
    x = 1,074,634.63

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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.