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Finding the Third Proportional to 269,961 and 590,772

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Solution

The third proportional to 269,961 and 590,772 is: 1,292,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,961 : 590,772 = 590,772 : x
  2. Step 2: Convert to fraction form
    269,961/590,772 = 590,772/x
  3. Step 3: Cross multiply
    269,961x = 590,772 × 590,772
  4. Step 4: Simplify right side
    269,961x = 349,011,555,984
  5. Step 5: Solve for x
    x = 349,011,555,984/269,961
  6. Step 6: Final answer
    x = 1,292,822.13

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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.