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Finding the Third Proportional to 204,082 and 437,690

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Solution

The third proportional to 204,082 and 437,690 is: 938,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,082 : 437,690 = 437,690 : x
  2. Step 2: Convert to fraction form
    204,082/437,690 = 437,690/x
  3. Step 3: Cross multiply
    204,082x = 437,690 × 437,690
  4. Step 4: Simplify right side
    204,082x = 191,572,536,100
  5. Step 5: Solve for x
    x = 191,572,536,100/204,082
  6. Step 6: Final answer
    x = 938,703.74

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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.