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Finding the Third Proportional to 238,439 and 521,172

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Solution

The third proportional to 238,439 and 521,172 is: 1,139,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,439 : 521,172 = 521,172 : x
  2. Step 2: Convert to fraction form
    238,439/521,172 = 521,172/x
  3. Step 3: Cross multiply
    238,439x = 521,172 × 521,172
  4. Step 4: Simplify right side
    238,439x = 271,620,253,584
  5. Step 5: Solve for x
    x = 271,620,253,584/238,439
  6. Step 6: Final answer
    x = 1,139,160.35

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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.