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Finding the Third Proportional to 367,062 and 567,321

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Solution

The third proportional to 367,062 and 567,321 is: 876,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,062 : 567,321 = 567,321 : x
  2. Step 2: Convert to fraction form
    367,062/567,321 = 567,321/x
  3. Step 3: Cross multiply
    367,062x = 567,321 × 567,321
  4. Step 4: Simplify right side
    367,062x = 321,853,117,041
  5. Step 5: Solve for x
    x = 321,853,117,041/367,062
  6. Step 6: Final answer
    x = 876,835.84

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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.