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Finding the Third Proportional to 267,466 and 577,064

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Solution

The third proportional to 267,466 and 577,064 is: 1,245,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,466 : 577,064 = 577,064 : x
  2. Step 2: Convert to fraction form
    267,466/577,064 = 577,064/x
  3. Step 3: Cross multiply
    267,466x = 577,064 × 577,064
  4. Step 4: Simplify right side
    267,466x = 333,002,860,096
  5. Step 5: Solve for x
    x = 333,002,860,096/267,466
  6. Step 6: Final answer
    x = 1,245,028.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.