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Finding the Third Proportional to 311,657.63 and 483,524.44

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Solution

The third proportional to 311,657.63 and 483,524.44 is: 750,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,657.63 : 483,524.44 = 483,524.44 : x
  2. Step 2: Convert to fraction form
    311,657.63/483,524.44 = 483,524.44/x
  3. Step 3: Cross multiply
    311,657.63x = 483,524.44 × 483,524.44
  4. Step 4: Simplify right side
    311,657.63x = 233,795,881,659.69
  5. Step 5: Solve for x
    x = 233,795,881,659.69/311,657.63
  6. Step 6: Final answer
    x = 750,168.98

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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.