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Finding the Third Proportional to 629,182.69 and 943,842.38

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Solution

The third proportional to 629,182.69 and 943,842.38 is: 1,415,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,182.69 : 943,842.38 = 943,842.38 : x
  2. Step 2: Convert to fraction form
    629,182.69/943,842.38 = 943,842.38/x
  3. Step 3: Cross multiply
    629,182.69x = 943,842.38 × 943,842.38
  4. Step 4: Simplify right side
    629,182.69x = 890,838,428,845.64
  5. Step 5: Solve for x
    x = 890,838,428,845.64/629,182.69
  6. Step 6: Final answer
    x = 1,415,866.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.