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Finding the Third Proportional to 267,636 and 403,722

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Solution

The third proportional to 267,636 and 403,722 is: 609,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,636 : 403,722 = 403,722 : x
  2. Step 2: Convert to fraction form
    267,636/403,722 = 403,722/x
  3. Step 3: Cross multiply
    267,636x = 403,722 × 403,722
  4. Step 4: Simplify right side
    267,636x = 162,991,453,284
  5. Step 5: Solve for x
    x = 162,991,453,284/267,636
  6. Step 6: Final answer
    x = 609,004.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.