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Finding the Third Proportional to 353,939.63 and 766,928.25

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Solution

The third proportional to 353,939.63 and 766,928.25 is: 1,661,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,939.63 : 766,928.25 = 766,928.25 : x
  2. Step 2: Convert to fraction form
    353,939.63/766,928.25 = 766,928.25/x
  3. Step 3: Cross multiply
    353,939.63x = 766,928.25 × 766,928.25
  4. Step 4: Simplify right side
    353,939.63x = 588,178,940,648.06
  5. Step 5: Solve for x
    x = 588,178,940,648.06/353,939.63
  6. Step 6: Final answer
    x = 1,661,805.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.