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Finding the Third Proportional to 239,704 and 521,244

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Solution

The third proportional to 239,704 and 521,244 is: 1,133,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,704 : 521,244 = 521,244 : x
  2. Step 2: Convert to fraction form
    239,704/521,244 = 521,244/x
  3. Step 3: Cross multiply
    239,704x = 521,244 × 521,244
  4. Step 4: Simplify right side
    239,704x = 271,695,307,536
  5. Step 5: Solve for x
    x = 271,695,307,536/239,704
  6. Step 6: Final answer
    x = 1,133,461.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.