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Finding the Third Proportional to 203,677.50 and 447,477

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Solution

The third proportional to 203,677.50 and 447,477 is: 983,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,677.50 : 447,477 = 447,477 : x
  2. Step 2: Convert to fraction form
    203,677.50/447,477 = 447,477/x
  3. Step 3: Cross multiply
    203,677.50x = 447,477 × 447,477
  4. Step 4: Simplify right side
    203,677.50x = 200,235,665,529
  5. Step 5: Solve for x
    x = 200,235,665,529/203,677.50
  6. Step 6: Final answer
    x = 983,101.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.