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Finding the Third Proportional to 313,374 and 477,405

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Solution

The third proportional to 313,374 and 477,405 is: 727,295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,374 : 477,405 = 477,405 : x
  2. Step 2: Convert to fraction form
    313,374/477,405 = 477,405/x
  3. Step 3: Cross multiply
    313,374x = 477,405 × 477,405
  4. Step 4: Simplify right side
    313,374x = 227,915,534,025
  5. Step 5: Solve for x
    x = 227,915,534,025/313,374
  6. Step 6: Final answer
    x = 727,295.61

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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.