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Finding the Third Proportional to 313,341 and 477,355

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Solution

The third proportional to 313,341 and 477,355 is: 727,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,341 : 477,355 = 477,355 : x
  2. Step 2: Convert to fraction form
    313,341/477,355 = 477,355/x
  3. Step 3: Cross multiply
    313,341x = 477,355 × 477,355
  4. Step 4: Simplify right side
    313,341x = 227,867,796,025
  5. Step 5: Solve for x
    x = 227,867,796,025/313,341
  6. Step 6: Final answer
    x = 727,219.85

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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.