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Finding the Third Proportional to 339,076.13 and 461,763.28

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Solution

The third proportional to 339,076.13 and 461,763.28 is: 628,842.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,076.13 : 461,763.28 = 461,763.28 : x
  2. Step 2: Convert to fraction form
    339,076.13/461,763.28 = 461,763.28/x
  3. Step 3: Cross multiply
    339,076.13x = 461,763.28 × 461,763.28
  4. Step 4: Simplify right side
    339,076.13x = 213,225,327,910.77
  5. Step 5: Solve for x
    x = 213,225,327,910.77/339,076.13
  6. Step 6: Final answer
    x = 628,842.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.