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Finding the Third Proportional to 311,962 and 483,927

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Solution

The third proportional to 311,962 and 483,927 is: 750,685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,962 : 483,927 = 483,927 : x
  2. Step 2: Convert to fraction form
    311,962/483,927 = 483,927/x
  3. Step 3: Cross multiply
    311,962x = 483,927 × 483,927
  4. Step 4: Simplify right side
    311,962x = 234,185,341,329
  5. Step 5: Solve for x
    x = 234,185,341,329/311,962
  6. Step 6: Final answer
    x = 750,685.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.