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Finding the Third Proportional to 269,064 and 585,420

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Solution

The third proportional to 269,064 and 585,420 is: 1,273,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,064 : 585,420 = 585,420 : x
  2. Step 2: Convert to fraction form
    269,064/585,420 = 585,420/x
  3. Step 3: Cross multiply
    269,064x = 585,420 × 585,420
  4. Step 4: Simplify right side
    269,064x = 342,716,576,400
  5. Step 5: Solve for x
    x = 342,716,576,400/269,064
  6. Step 6: Final answer
    x = 1,273,736.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.