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Finding the Third Proportional to 252,274 and 379,475

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Solution

The third proportional to 252,274 and 379,475 is: 570,812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,274 : 379,475 = 379,475 : x
  2. Step 2: Convert to fraction form
    252,274/379,475 = 379,475/x
  3. Step 3: Cross multiply
    252,274x = 379,475 × 379,475
  4. Step 4: Simplify right side
    252,274x = 144,001,275,625
  5. Step 5: Solve for x
    x = 144,001,275,625/252,274
  6. Step 6: Final answer
    x = 570,812.99

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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.