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Finding the Third Proportional to 388,071 and 848,280

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Solution

The third proportional to 388,071 and 848,280 is: 1,854,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,071 : 848,280 = 848,280 : x
  2. Step 2: Convert to fraction form
    388,071/848,280 = 848,280/x
  3. Step 3: Cross multiply
    388,071x = 848,280 × 848,280
  4. Step 4: Simplify right side
    388,071x = 719,578,958,400
  5. Step 5: Solve for x
    x = 719,578,958,400/388,071
  6. Step 6: Final answer
    x = 1,854,245.64

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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.