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Finding the Third Proportional to 204,567 and 437,565

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Solution

The third proportional to 204,567 and 437,565 is: 935,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,567 : 437,565 = 437,565 : x
  2. Step 2: Convert to fraction form
    204,567/437,565 = 437,565/x
  3. Step 3: Cross multiply
    204,567x = 437,565 × 437,565
  4. Step 4: Simplify right side
    204,567x = 191,463,129,225
  5. Step 5: Solve for x
    x = 191,463,129,225/204,567
  6. Step 6: Final answer
    x = 935,943.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.