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Finding the Third Proportional to 367,078 and 567,353

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Solution

The third proportional to 367,078 and 567,353 is: 876,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,078 : 567,353 = 567,353 : x
  2. Step 2: Convert to fraction form
    367,078/567,353 = 567,353/x
  3. Step 3: Cross multiply
    367,078x = 567,353 × 567,353
  4. Step 4: Simplify right side
    367,078x = 321,889,426,609
  5. Step 5: Solve for x
    x = 321,889,426,609/367,078
  6. Step 6: Final answer
    x = 876,896.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.