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Finding the Third Proportional to 323,622.69 and 485,434.06

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Solution

The third proportional to 323,622.69 and 485,434.06 is: 728,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,622.69 : 485,434.06 = 485,434.06 : x
  2. Step 2: Convert to fraction form
    323,622.69/485,434.06 = 485,434.06/x
  3. Step 3: Cross multiply
    323,622.69x = 485,434.06 × 485,434.06
  4. Step 4: Simplify right side
    323,622.69x = 235,646,229,035.25
  5. Step 5: Solve for x
    x = 235,646,229,035.25/323,622.69
  6. Step 6: Final answer
    x = 728,151.14

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