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Finding the Third Proportional to 275,844 and 591,052

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Solution

The third proportional to 275,844 and 591,052 is: 1,266,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,844 : 591,052 = 591,052 : x
  2. Step 2: Convert to fraction form
    275,844/591,052 = 591,052/x
  3. Step 3: Cross multiply
    275,844x = 591,052 × 591,052
  4. Step 4: Simplify right side
    275,844x = 349,342,466,704
  5. Step 5: Solve for x
    x = 349,342,466,704/275,844
  6. Step 6: Final answer
    x = 1,266,449.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.