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Finding the Third Proportional to 388,204.50 and 848,373

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Solution

The third proportional to 388,204.50 and 848,373 is: 1,854,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,204.50 : 848,373 = 848,373 : x
  2. Step 2: Convert to fraction form
    388,204.50/848,373 = 848,373/x
  3. Step 3: Cross multiply
    388,204.50x = 848,373 × 848,373
  4. Step 4: Simplify right side
    388,204.50x = 719,736,747,129
  5. Step 5: Solve for x
    x = 719,736,747,129/388,204.50
  6. Step 6: Final answer
    x = 1,854,014.44

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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.