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Finding the Third Proportional to 204,611 and 437,646

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Solution

The third proportional to 204,611 and 437,646 is: 936,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,611 : 437,646 = 437,646 : x
  2. Step 2: Convert to fraction form
    204,611/437,646 = 437,646/x
  3. Step 3: Cross multiply
    204,611x = 437,646 × 437,646
  4. Step 4: Simplify right side
    204,611x = 191,534,021,316
  5. Step 5: Solve for x
    x = 191,534,021,316/204,611
  6. Step 6: Final answer
    x = 936,088.58

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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.