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Finding the Third Proportional to 373,408 and 567,016

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Solution

The third proportional to 373,408 and 567,016 is: 861,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,408 : 567,016 = 567,016 : x
  2. Step 2: Convert to fraction form
    373,408/567,016 = 567,016/x
  3. Step 3: Cross multiply
    373,408x = 567,016 × 567,016
  4. Step 4: Simplify right side
    373,408x = 321,507,144,256
  5. Step 5: Solve for x
    x = 321,507,144,256/373,408
  6. Step 6: Final answer
    x = 861,007.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.