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Finding the Third Proportional to 204,260 and 436,576

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Solution

The third proportional to 204,260 and 436,576 is: 933,117.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,260 : 436,576 = 436,576 : x
  2. Step 2: Convert to fraction form
    204,260/436,576 = 436,576/x
  3. Step 3: Cross multiply
    204,260x = 436,576 × 436,576
  4. Step 4: Simplify right side
    204,260x = 190,598,603,776
  5. Step 5: Solve for x
    x = 190,598,603,776/204,260
  6. Step 6: Final answer
    x = 933,117.61

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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.