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Finding the Third Proportional to 380,669.25 and 846,449.25

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Solution

The third proportional to 380,669.25 and 846,449.25 is: 1,882,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,669.25 : 846,449.25 = 846,449.25 : x
  2. Step 2: Convert to fraction form
    380,669.25/846,449.25 = 846,449.25/x
  3. Step 3: Cross multiply
    380,669.25x = 846,449.25 × 846,449.25
  4. Step 4: Simplify right side
    380,669.25x = 716,476,332,825.56
  5. Step 5: Solve for x
    x = 716,476,332,825.56/380,669.25
  6. Step 6: Final answer
    x = 1,882,149.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.