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Finding the Third Proportional to 262,476 and 542,449

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Solution

The third proportional to 262,476 and 542,449 is: 1,121,058.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,476 : 542,449 = 542,449 : x
  2. Step 2: Convert to fraction form
    262,476/542,449 = 542,449/x
  3. Step 3: Cross multiply
    262,476x = 542,449 × 542,449
  4. Step 4: Simplify right side
    262,476x = 294,250,917,601
  5. Step 5: Solve for x
    x = 294,250,917,601/262,476
  6. Step 6: Final answer
    x = 1,121,058.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.