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Finding the Third Proportional to 348,366 and 521,195

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Solution

The third proportional to 348,366 and 521,195 is: 779,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,366 : 521,195 = 521,195 : x
  2. Step 2: Convert to fraction form
    348,366/521,195 = 521,195/x
  3. Step 3: Cross multiply
    348,366x = 521,195 × 521,195
  4. Step 4: Simplify right side
    348,366x = 271,644,228,025
  5. Step 5: Solve for x
    x = 271,644,228,025/348,366
  6. Step 6: Final answer
    x = 779,766.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.