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Finding the Third Proportional to 367,328 and 567,615

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Solution

The third proportional to 367,328 and 567,615 is: 877,109.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,328 : 567,615 = 567,615 : x
  2. Step 2: Convert to fraction form
    367,328/567,615 = 567,615/x
  3. Step 3: Cross multiply
    367,328x = 567,615 × 567,615
  4. Step 4: Simplify right side
    367,328x = 322,186,788,225
  5. Step 5: Solve for x
    x = 322,186,788,225/367,328
  6. Step 6: Final answer
    x = 877,109.25

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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.