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Finding the Third Proportional to 269,780 and 590,956

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Solution

The third proportional to 269,780 and 590,956 is: 1,294,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,780 : 590,956 = 590,956 : x
  2. Step 2: Convert to fraction form
    269,780/590,956 = 590,956/x
  3. Step 3: Cross multiply
    269,780x = 590,956 × 590,956
  4. Step 4: Simplify right side
    269,780x = 349,228,993,936
  5. Step 5: Solve for x
    x = 349,228,993,936/269,780
  6. Step 6: Final answer
    x = 1,294,495.49

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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.