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Finding the Third Proportional to 204,047 and 441,338

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Solution

The third proportional to 204,047 and 441,338 is: 954,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,047 : 441,338 = 441,338 : x
  2. Step 2: Convert to fraction form
    204,047/441,338 = 441,338/x
  3. Step 3: Cross multiply
    204,047x = 441,338 × 441,338
  4. Step 4: Simplify right side
    204,047x = 194,779,230,244
  5. Step 5: Solve for x
    x = 194,779,230,244/204,047
  6. Step 6: Final answer
    x = 954,580.22

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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.