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Finding the Third Proportional to 350,340.25 and 766,109.25

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Solution

The third proportional to 350,340.25 and 766,109.25 is: 1,675,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,340.25 : 766,109.25 = 766,109.25 : x
  2. Step 2: Convert to fraction form
    350,340.25/766,109.25 = 766,109.25/x
  3. Step 3: Cross multiply
    350,340.25x = 766,109.25 × 766,109.25
  4. Step 4: Simplify right side
    350,340.25x = 586,923,382,935.56
  5. Step 5: Solve for x
    x = 586,923,382,935.56/350,340.25
  6. Step 6: Final answer
    x = 1,675,295.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.