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Finding the Third Proportional to 204,071 and 476,539

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Solution

The third proportional to 204,071 and 476,539 is: 1,112,796.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,071 : 476,539 = 476,539 : x
  2. Step 2: Convert to fraction form
    204,071/476,539 = 476,539/x
  3. Step 3: Cross multiply
    204,071x = 476,539 × 476,539
  4. Step 4: Simplify right side
    204,071x = 227,089,418,521
  5. Step 5: Solve for x
    x = 227,089,418,521/204,071
  6. Step 6: Final answer
    x = 1,112,796.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.