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Finding the Third Proportional to 275,433 and 591,042

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Solution

The third proportional to 275,433 and 591,042 is: 1,268,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,433 : 591,042 = 591,042 : x
  2. Step 2: Convert to fraction form
    275,433/591,042 = 591,042/x
  3. Step 3: Cross multiply
    275,433x = 591,042 × 591,042
  4. Step 4: Simplify right side
    275,433x = 349,330,645,764
  5. Step 5: Solve for x
    x = 349,330,645,764/275,433
  6. Step 6: Final answer
    x = 1,268,296.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.