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Finding the Third Proportional to 204,562 and 437,556

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Solution

The third proportional to 204,562 and 437,556 is: 935,927.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,562 : 437,556 = 437,556 : x
  2. Step 2: Convert to fraction form
    204,562/437,556 = 437,556/x
  3. Step 3: Cross multiply
    204,562x = 437,556 × 437,556
  4. Step 4: Simplify right side
    204,562x = 191,455,253,136
  5. Step 5: Solve for x
    x = 191,455,253,136/204,562
  6. Step 6: Final answer
    x = 935,927.75

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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.