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Finding the Third Proportional to 251,361 and 538,704

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Solution

The third proportional to 251,361 and 538,704 is: 1,154,522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,361 : 538,704 = 538,704 : x
  2. Step 2: Convert to fraction form
    251,361/538,704 = 538,704/x
  3. Step 3: Cross multiply
    251,361x = 538,704 × 538,704
  4. Step 4: Simplify right side
    251,361x = 290,201,999,616
  5. Step 5: Solve for x
    x = 290,201,999,616/251,361
  6. Step 6: Final answer
    x = 1,154,522.78

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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.