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Finding the Third Proportional to 203,430 and 441,042

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Solution

The third proportional to 203,430 and 441,042 is: 956,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,430 : 441,042 = 441,042 : x
  2. Step 2: Convert to fraction form
    203,430/441,042 = 441,042/x
  3. Step 3: Cross multiply
    203,430x = 441,042 × 441,042
  4. Step 4: Simplify right side
    203,430x = 194,518,045,764
  5. Step 5: Solve for x
    x = 194,518,045,764/203,430
  6. Step 6: Final answer
    x = 956,191.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.