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Finding the Third Proportional to 267,296 and 569,248

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Solution

The third proportional to 267,296 and 569,248 is: 1,212,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,296 : 569,248 = 569,248 : x
  2. Step 2: Convert to fraction form
    267,296/569,248 = 569,248/x
  3. Step 3: Cross multiply
    267,296x = 569,248 × 569,248
  4. Step 4: Simplify right side
    267,296x = 324,043,285,504
  5. Step 5: Solve for x
    x = 324,043,285,504/267,296
  6. Step 6: Final answer
    x = 1,212,301.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.