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Finding the Third Proportional to 267,880 and 589,328

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Solution

The third proportional to 267,880 and 589,328 is: 1,296,504.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,880 : 589,328 = 589,328 : x
  2. Step 2: Convert to fraction form
    267,880/589,328 = 589,328/x
  3. Step 3: Cross multiply
    267,880x = 589,328 × 589,328
  4. Step 4: Simplify right side
    267,880x = 347,307,491,584
  5. Step 5: Solve for x
    x = 347,307,491,584/267,880
  6. Step 6: Final answer
    x = 1,296,504.00

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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.