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Finding the Third Proportional to 269,272 and 590,768

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Solution

The third proportional to 269,272 and 590,768 is: 1,296,112.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,272 : 590,768 = 590,768 : x
  2. Step 2: Convert to fraction form
    269,272/590,768 = 590,768/x
  3. Step 3: Cross multiply
    269,272x = 590,768 × 590,768
  4. Step 4: Simplify right side
    269,272x = 349,006,829,824
  5. Step 5: Solve for x
    x = 349,006,829,824/269,272
  6. Step 6: Final answer
    x = 1,296,112.59

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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.