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Finding the Third Proportional to 367,296 and 567,144

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Solution

The third proportional to 367,296 and 567,144 is: 875,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,296 : 567,144 = 567,144 : x
  2. Step 2: Convert to fraction form
    367,296/567,144 = 567,144/x
  3. Step 3: Cross multiply
    367,296x = 567,144 × 567,144
  4. Step 4: Simplify right side
    367,296x = 321,652,316,736
  5. Step 5: Solve for x
    x = 321,652,316,736/367,296
  6. Step 6: Final answer
    x = 875,730.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.