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Finding the Third Proportional to 203,430 and 443,024

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Solution

The third proportional to 203,430 and 443,024 is: 964,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,430 : 443,024 = 443,024 : x
  2. Step 2: Convert to fraction form
    203,430/443,024 = 443,024/x
  3. Step 3: Cross multiply
    203,430x = 443,024 × 443,024
  4. Step 4: Simplify right side
    203,430x = 196,270,264,576
  5. Step 5: Solve for x
    x = 196,270,264,576/203,430
  6. Step 6: Final answer
    x = 964,804.92

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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.