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Finding the Third Proportional to 204,033 and 437,589

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Solution

The third proportional to 204,033 and 437,589 is: 938,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033 : 437,589 = 437,589 : x
  2. Step 2: Convert to fraction form
    204,033/437,589 = 437,589/x
  3. Step 3: Cross multiply
    204,033x = 437,589 × 437,589
  4. Step 4: Simplify right side
    204,033x = 191,484,132,921
  5. Step 5: Solve for x
    x = 191,484,132,921/204,033
  6. Step 6: Final answer
    x = 938,495.89

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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.