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Finding the Third Proportional to 251,224 and 538,844

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Solution

The third proportional to 251,224 and 538,844 is: 1,155,752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,224 : 538,844 = 538,844 : x
  2. Step 2: Convert to fraction form
    251,224/538,844 = 538,844/x
  3. Step 3: Cross multiply
    251,224x = 538,844 × 538,844
  4. Step 4: Simplify right side
    251,224x = 290,352,856,336
  5. Step 5: Solve for x
    x = 290,352,856,336/251,224
  6. Step 6: Final answer
    x = 1,155,752.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.