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Finding the Third Proportional to 311,659.88 and 483,528.38

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Solution

The third proportional to 311,659.88 and 483,528.38 is: 750,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,659.88 : 483,528.38 = 483,528.38 : x
  2. Step 2: Convert to fraction form
    311,659.88/483,528.38 = 483,528.38/x
  3. Step 3: Cross multiply
    311,659.88x = 483,528.38 × 483,528.38
  4. Step 4: Simplify right side
    311,659.88x = 233,799,689,430.14
  5. Step 5: Solve for x
    x = 233,799,689,430.14/311,659.88
  6. Step 6: Final answer
    x = 750,175.78

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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.