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Finding the Third Proportional to 367,968 and 543,750

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Solution

The third proportional to 367,968 and 543,750 is: 803,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,968 : 543,750 = 543,750 : x
  2. Step 2: Convert to fraction form
    367,968/543,750 = 543,750/x
  3. Step 3: Cross multiply
    367,968x = 543,750 × 543,750
  4. Step 4: Simplify right side
    367,968x = 295,664,062,500
  5. Step 5: Solve for x
    x = 295,664,062,500/367,968
  6. Step 6: Final answer
    x = 803,504.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.