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Finding the Third Proportional to 378,120 and 567,176

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Solution

The third proportional to 378,120 and 567,176 is: 850,758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,120 : 567,176 = 567,176 : x
  2. Step 2: Convert to fraction form
    378,120/567,176 = 567,176/x
  3. Step 3: Cross multiply
    378,120x = 567,176 × 567,176
  4. Step 4: Simplify right side
    378,120x = 321,688,614,976
  5. Step 5: Solve for x
    x = 321,688,614,976/378,120
  6. Step 6: Final answer
    x = 850,758.00

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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.