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Finding the Third Proportional to 313,179 and 475,995

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Solution

The third proportional to 313,179 and 475,995 is: 723,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,179 : 475,995 = 475,995 : x
  2. Step 2: Convert to fraction form
    313,179/475,995 = 475,995/x
  3. Step 3: Cross multiply
    313,179x = 475,995 × 475,995
  4. Step 4: Simplify right side
    313,179x = 226,571,240,025
  5. Step 5: Solve for x
    x = 226,571,240,025/313,179
  6. Step 6: Final answer
    x = 723,456.04

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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.