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Finding the Third Proportional to 250,326 and 521,364

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Solution

The third proportional to 250,326 and 521,364 is: 1,085,865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,326 : 521,364 = 521,364 : x
  2. Step 2: Convert to fraction form
    250,326/521,364 = 521,364/x
  3. Step 3: Cross multiply
    250,326x = 521,364 × 521,364
  4. Step 4: Simplify right side
    250,326x = 271,820,420,496
  5. Step 5: Solve for x
    x = 271,820,420,496/250,326
  6. Step 6: Final answer
    x = 1,085,865.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.