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Finding the Third Proportional to 269,062 and 590,604

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Solution

The third proportional to 269,062 and 590,604 is: 1,296,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,062 : 590,604 = 590,604 : x
  2. Step 2: Convert to fraction form
    269,062/590,604 = 590,604/x
  3. Step 3: Cross multiply
    269,062x = 590,604 × 590,604
  4. Step 4: Simplify right side
    269,062x = 348,813,084,816
  5. Step 5: Solve for x
    x = 348,813,084,816/269,062
  6. Step 6: Final answer
    x = 1,296,404.12

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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.