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Finding the Third Proportional to 388,198.50 and 848,361

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Solution

The third proportional to 388,198.50 and 848,361 is: 1,853,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,198.50 : 848,361 = 848,361 : x
  2. Step 2: Convert to fraction form
    388,198.50/848,361 = 848,361/x
  3. Step 3: Cross multiply
    388,198.50x = 848,361 × 848,361
  4. Step 4: Simplify right side
    388,198.50x = 719,716,386,321
  5. Step 5: Solve for x
    x = 719,716,386,321/388,198.50
  6. Step 6: Final answer
    x = 1,853,990.64

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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.