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Finding the Third Proportional to 300,973.69 and 626,858.63

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Solution

The third proportional to 300,973.69 and 626,858.63 is: 1,305,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,973.69 : 626,858.63 = 626,858.63 : x
  2. Step 2: Convert to fraction form
    300,973.69/626,858.63 = 626,858.63/x
  3. Step 3: Cross multiply
    300,973.69x = 626,858.63 × 626,858.63
  4. Step 4: Simplify right side
    300,973.69x = 392,951,735,736.89
  5. Step 5: Solve for x
    x = 392,951,735,736.89/300,973.69
  6. Step 6: Final answer
    x = 1,305,601.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.