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Finding the Third Proportional to 375,336.25 and 825,739

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Solution

The third proportional to 375,336.25 and 825,739 is: 1,816,624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,336.25 : 825,739 = 825,739 : x
  2. Step 2: Convert to fraction form
    375,336.25/825,739 = 825,739/x
  3. Step 3: Cross multiply
    375,336.25x = 825,739 × 825,739
  4. Step 4: Simplify right side
    375,336.25x = 681,844,896,121
  5. Step 5: Solve for x
    x = 681,844,896,121/375,336.25
  6. Step 6: Final answer
    x = 1,816,624.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.