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Finding the Third Proportional to 313,334 and 477,357

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Solution

The third proportional to 313,334 and 477,357 is: 727,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,334 : 477,357 = 477,357 : x
  2. Step 2: Convert to fraction form
    313,334/477,357 = 477,357/x
  3. Step 3: Cross multiply
    313,334x = 477,357 × 477,357
  4. Step 4: Simplify right side
    313,334x = 227,869,705,449
  5. Step 5: Solve for x
    x = 227,869,705,449/313,334
  6. Step 6: Final answer
    x = 727,242.19

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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.