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Finding the Third Proportional to 267,923 and 572,693

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Solution

The third proportional to 267,923 and 572,693 is: 1,224,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,923 : 572,693 = 572,693 : x
  2. Step 2: Convert to fraction form
    267,923/572,693 = 572,693/x
  3. Step 3: Cross multiply
    267,923x = 572,693 × 572,693
  4. Step 4: Simplify right side
    267,923x = 327,977,272,249
  5. Step 5: Solve for x
    x = 327,977,272,249/267,923
  6. Step 6: Final answer
    x = 1,224,147.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.