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Finding the Third Proportional to 269,962 and 590,764

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Solution

The third proportional to 269,962 and 590,764 is: 1,292,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,962 : 590,764 = 590,764 : x
  2. Step 2: Convert to fraction form
    269,962/590,764 = 590,764/x
  3. Step 3: Cross multiply
    269,962x = 590,764 × 590,764
  4. Step 4: Simplify right side
    269,962x = 349,002,103,696
  5. Step 5: Solve for x
    x = 349,002,103,696/269,962
  6. Step 6: Final answer
    x = 1,292,782.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.