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Finding the Third Proportional to 238,426 and 521,138

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Solution

The third proportional to 238,426 and 521,138 is: 1,139,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,426 : 521,138 = 521,138 : x
  2. Step 2: Convert to fraction form
    238,426/521,138 = 521,138/x
  3. Step 3: Cross multiply
    238,426x = 521,138 × 521,138
  4. Step 4: Simplify right side
    238,426x = 271,584,815,044
  5. Step 5: Solve for x
    x = 271,584,815,044/238,426
  6. Step 6: Final answer
    x = 1,139,073.82

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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.