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Finding the Third Proportional to 203,440 and 443,044

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Solution

The third proportional to 203,440 and 443,044 is: 964,844.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,440 : 443,044 = 443,044 : x
  2. Step 2: Convert to fraction form
    203,440/443,044 = 443,044/x
  3. Step 3: Cross multiply
    203,440x = 443,044 × 443,044
  4. Step 4: Simplify right side
    203,440x = 196,287,985,936
  5. Step 5: Solve for x
    x = 196,287,985,936/203,440
  6. Step 6: Final answer
    x = 964,844.60

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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.