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Finding the Third Proportional to 388,734.75 and 852,205.13

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Solution

The third proportional to 388,734.75 and 852,205.13 is: 1,868,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,734.75 : 852,205.13 = 852,205.13 : x
  2. Step 2: Convert to fraction form
    388,734.75/852,205.13 = 852,205.13/x
  3. Step 3: Cross multiply
    388,734.75x = 852,205.13 × 852,205.13
  4. Step 4: Simplify right side
    388,734.75x = 726,253,575,076.27
  5. Step 5: Solve for x
    x = 726,253,575,076.27/388,734.75
  6. Step 6: Final answer
    x = 1,868,249.69

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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.