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Finding the Third Proportional to 267,878 and 589,324

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Solution

The third proportional to 267,878 and 589,324 is: 1,296,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,878 : 589,324 = 589,324 : x
  2. Step 2: Convert to fraction form
    267,878/589,324 = 589,324/x
  3. Step 3: Cross multiply
    267,878x = 589,324 × 589,324
  4. Step 4: Simplify right side
    267,878x = 347,302,776,976
  5. Step 5: Solve for x
    x = 347,302,776,976/267,878
  6. Step 6: Final answer
    x = 1,296,496.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.