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Finding the Third Proportional to 323,622.88 and 485,434.38

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Solution

The third proportional to 323,622.88 and 485,434.38 is: 728,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,622.88 : 485,434.38 = 485,434.38 : x
  2. Step 2: Convert to fraction form
    323,622.88/485,434.38 = 485,434.38/x
  3. Step 3: Cross multiply
    323,622.88x = 485,434.38 × 485,434.38
  4. Step 4: Simplify right side
    323,622.88x = 235,646,532,431.64
  5. Step 5: Solve for x
    x = 235,646,532,431.64/323,622.88
  6. Step 6: Final answer
    x = 728,151.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.