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Finding the Third Proportional to 238,914 and 522,134

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Solution

The third proportional to 238,914 and 522,134 is: 1,141,096.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,914 : 522,134 = 522,134 : x
  2. Step 2: Convert to fraction form
    238,914/522,134 = 522,134/x
  3. Step 3: Cross multiply
    238,914x = 522,134 × 522,134
  4. Step 4: Simplify right side
    238,914x = 272,623,913,956
  5. Step 5: Solve for x
    x = 272,623,913,956/238,914
  6. Step 6: Final answer
    x = 1,141,096.44

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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.