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Finding the Third Proportional to 322,536.94 and 451,121.91

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Solution

The third proportional to 322,536.94 and 451,121.91 is: 630,969.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,536.94 : 451,121.91 = 451,121.91 : x
  2. Step 2: Convert to fraction form
    322,536.94/451,121.91 = 451,121.91/x
  3. Step 3: Cross multiply
    322,536.94x = 451,121.91 × 451,121.91
  4. Step 4: Simplify right side
    322,536.94x = 203,510,974,298.63
  5. Step 5: Solve for x
    x = 203,510,974,298.63/322,536.94
  6. Step 6: Final answer
    x = 630,969.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.