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Finding the Third Proportional to 269,064 and 590,608

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Solution

The third proportional to 269,064 and 590,608 is: 1,296,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,064 : 590,608 = 590,608 : x
  2. Step 2: Convert to fraction form
    269,064/590,608 = 590,608/x
  3. Step 3: Cross multiply
    269,064x = 590,608 × 590,608
  4. Step 4: Simplify right side
    269,064x = 348,817,809,664
  5. Step 5: Solve for x
    x = 348,817,809,664/269,064
  6. Step 6: Final answer
    x = 1,296,412.04

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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.