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Finding the Third Proportional to 203,440 and 443,073

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Solution

The third proportional to 203,440 and 443,073 is: 964,970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,440 : 443,073 = 443,073 : x
  2. Step 2: Convert to fraction form
    203,440/443,073 = 443,073/x
  3. Step 3: Cross multiply
    203,440x = 443,073 × 443,073
  4. Step 4: Simplify right side
    203,440x = 196,313,683,329
  5. Step 5: Solve for x
    x = 196,313,683,329/203,440
  6. Step 6: Final answer
    x = 964,970.92

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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.