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Finding the Third Proportional to 238,844 and 521,976

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Solution

The third proportional to 238,844 and 521,976 is: 1,140,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,844 : 521,976 = 521,976 : x
  2. Step 2: Convert to fraction form
    238,844/521,976 = 521,976/x
  3. Step 3: Cross multiply
    238,844x = 521,976 × 521,976
  4. Step 4: Simplify right side
    238,844x = 272,458,944,576
  5. Step 5: Solve for x
    x = 272,458,944,576/238,844
  6. Step 6: Final answer
    x = 1,140,740.17

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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.