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Finding the Third Proportional to 364,204 and 570,068

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Solution

The third proportional to 364,204 and 570,068 is: 892,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,204 : 570,068 = 570,068 : x
  2. Step 2: Convert to fraction form
    364,204/570,068 = 570,068/x
  3. Step 3: Cross multiply
    364,204x = 570,068 × 570,068
  4. Step 4: Simplify right side
    364,204x = 324,977,524,624
  5. Step 5: Solve for x
    x = 324,977,524,624/364,204
  6. Step 6: Final answer
    x = 892,295.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.