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Finding the Third Proportional to 379,196 and 533,366

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Solution

The third proportional to 379,196 and 533,366 is: 750,217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,196 : 533,366 = 533,366 : x
  2. Step 2: Convert to fraction form
    379,196/533,366 = 533,366/x
  3. Step 3: Cross multiply
    379,196x = 533,366 × 533,366
  4. Step 4: Simplify right side
    379,196x = 284,479,289,956
  5. Step 5: Solve for x
    x = 284,479,289,956/379,196
  6. Step 6: Final answer
    x = 750,217.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.