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Finding the Third Proportional to 382,094 and 574,101

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Solution

The third proportional to 382,094 and 574,101 is: 862,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,094 : 574,101 = 574,101 : x
  2. Step 2: Convert to fraction form
    382,094/574,101 = 574,101/x
  3. Step 3: Cross multiply
    382,094x = 574,101 × 574,101
  4. Step 4: Simplify right side
    382,094x = 329,591,958,201
  5. Step 5: Solve for x
    x = 329,591,958,201/382,094
  6. Step 6: Final answer
    x = 862,593.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.