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Finding the Third Proportional to 203,401.13 and 442,477.69

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Solution

The third proportional to 203,401.13 and 442,477.69 is: 962,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,401.13 : 442,477.69 = 442,477.69 : x
  2. Step 2: Convert to fraction form
    203,401.13/442,477.69 = 442,477.69/x
  3. Step 3: Cross multiply
    203,401.13x = 442,477.69 × 442,477.69
  4. Step 4: Simplify right side
    203,401.13x = 195,786,503,935.35
  5. Step 5: Solve for x
    x = 195,786,503,935.35/203,401.13
  6. Step 6: Final answer
    x = 962,563.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.