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Finding the Third Proportional to 269,006 and 590,256

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Solution

The third proportional to 269,006 and 590,256 is: 1,295,146.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,006 : 590,256 = 590,256 : x
  2. Step 2: Convert to fraction form
    269,006/590,256 = 590,256/x
  3. Step 3: Cross multiply
    269,006x = 590,256 × 590,256
  4. Step 4: Simplify right side
    269,006x = 348,402,145,536
  5. Step 5: Solve for x
    x = 348,402,145,536/269,006
  6. Step 6: Final answer
    x = 1,295,146.37

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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.