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Finding the Third Proportional to 204,613 and 437,650

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Solution

The third proportional to 204,613 and 437,650 is: 936,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,613 : 437,650 = 437,650 : x
  2. Step 2: Convert to fraction form
    204,613/437,650 = 437,650/x
  3. Step 3: Cross multiply
    204,613x = 437,650 × 437,650
  4. Step 4: Simplify right side
    204,613x = 191,537,522,500
  5. Step 5: Solve for x
    x = 191,537,522,500/204,613
  6. Step 6: Final answer
    x = 936,096.55

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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.