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Finding the Third Proportional to 206,287.07 and 437,408.54

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Solution

The third proportional to 206,287.07 and 437,408.54 is: 927,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,287.07 : 437,408.54 = 437,408.54 : x
  2. Step 2: Convert to fraction form
    206,287.07/437,408.54 = 437,408.54/x
  3. Step 3: Cross multiply
    206,287.07x = 437,408.54 × 437,408.54
  4. Step 4: Simplify right side
    206,287.07x = 191,326,233,462.05
  5. Step 5: Solve for x
    x = 191,326,233,462.05/206,287.07
  6. Step 6: Final answer
    x = 927,475.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.