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Finding the Third Proportional to 361,917 and 779,927.63

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Solution

The third proportional to 361,917 and 779,927.63 is: 1,680,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,917 : 779,927.63 = 779,927.63 : x
  2. Step 2: Convert to fraction form
    361,917/779,927.63 = 779,927.63/x
  3. Step 3: Cross multiply
    361,917x = 779,927.63 × 779,927.63
  4. Step 4: Simplify right side
    361,917x = 608,287,100,238.14
  5. Step 5: Solve for x
    x = 608,287,100,238.14/361,917
  6. Step 6: Final answer
    x = 1,680,736.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.