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Finding the Third Proportional to 367,327 and 567,614

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Solution

The third proportional to 367,327 and 567,614 is: 877,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,327 : 567,614 = 567,614 : x
  2. Step 2: Convert to fraction form
    367,327/567,614 = 567,614/x
  3. Step 3: Cross multiply
    367,327x = 567,614 × 567,614
  4. Step 4: Simplify right side
    367,327x = 322,185,652,996
  5. Step 5: Solve for x
    x = 322,185,652,996/367,327
  6. Step 6: Final answer
    x = 877,108.55

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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.