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Finding the Third Proportional to 252,468 and 379,350

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Solution

The third proportional to 252,468 and 379,350 is: 569,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,468 : 379,350 = 379,350 : x
  2. Step 2: Convert to fraction form
    252,468/379,350 = 379,350/x
  3. Step 3: Cross multiply
    252,468x = 379,350 × 379,350
  4. Step 4: Simplify right side
    252,468x = 143,906,422,500
  5. Step 5: Solve for x
    x = 143,906,422,500/252,468
  6. Step 6: Final answer
    x = 569,998.66

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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.