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Finding the Third Proportional to 275,598 and 590,559.75

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Solution

The third proportional to 275,598 and 590,559.75 is: 1,265,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,598 : 590,559.75 = 590,559.75 : x
  2. Step 2: Convert to fraction form
    275,598/590,559.75 = 590,559.75/x
  3. Step 3: Cross multiply
    275,598x = 590,559.75 × 590,559.75
  4. Step 4: Simplify right side
    275,598x = 348,760,818,320.06
  5. Step 5: Solve for x
    x = 348,760,818,320.06/275,598
  6. Step 6: Final answer
    x = 1,265,469.34

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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.