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Finding the Third Proportional to 267,372 and 575,064

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Solution

The third proportional to 267,372 and 575,064 is: 1,236,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,372 : 575,064 = 575,064 : x
  2. Step 2: Convert to fraction form
    267,372/575,064 = 575,064/x
  3. Step 3: Cross multiply
    267,372x = 575,064 × 575,064
  4. Step 4: Simplify right side
    267,372x = 330,698,604,096
  5. Step 5: Solve for x
    x = 330,698,604,096/267,372
  6. Step 6: Final answer
    x = 1,236,848.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.