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Finding the Third Proportional to 238,192 and 521,024

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Solution

The third proportional to 238,192 and 521,024 is: 1,139,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,192 : 521,024 = 521,024 : x
  2. Step 2: Convert to fraction form
    238,192/521,024 = 521,024/x
  3. Step 3: Cross multiply
    238,192x = 521,024 × 521,024
  4. Step 4: Simplify right side
    238,192x = 271,466,008,576
  5. Step 5: Solve for x
    x = 271,466,008,576/238,192
  6. Step 6: Final answer
    x = 1,139,694.06

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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.