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Finding the Third Proportional to 313,392 and 477,436

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Solution

The third proportional to 313,392 and 477,436 is: 727,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,392 : 477,436 = 477,436 : x
  2. Step 2: Convert to fraction form
    313,392/477,436 = 477,436/x
  3. Step 3: Cross multiply
    313,392x = 477,436 × 477,436
  4. Step 4: Simplify right side
    313,392x = 227,945,134,096
  5. Step 5: Solve for x
    x = 227,945,134,096/313,392
  6. Step 6: Final answer
    x = 727,348.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.