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Finding the Third Proportional to 204,045 and 441,334

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Solution

The third proportional to 204,045 and 441,334 is: 954,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,045 : 441,334 = 441,334 : x
  2. Step 2: Convert to fraction form
    204,045/441,334 = 441,334/x
  3. Step 3: Cross multiply
    204,045x = 441,334 × 441,334
  4. Step 4: Simplify right side
    204,045x = 194,775,699,556
  5. Step 5: Solve for x
    x = 194,775,699,556/204,045
  6. Step 6: Final answer
    x = 954,572.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.