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Finding the Third Proportional to 238,933 and 521,334

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Solution

The third proportional to 238,933 and 521,334 is: 1,137,511.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,933 : 521,334 = 521,334 : x
  2. Step 2: Convert to fraction form
    238,933/521,334 = 521,334/x
  3. Step 3: Cross multiply
    238,933x = 521,334 × 521,334
  4. Step 4: Simplify right side
    238,933x = 271,789,139,556
  5. Step 5: Solve for x
    x = 271,789,139,556/238,933
  6. Step 6: Final answer
    x = 1,137,511.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.