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Finding the Third Proportional to 275,603 and 590,571

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Solution

The third proportional to 275,603 and 590,571 is: 1,265,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,603 : 590,571 = 590,571 : x
  2. Step 2: Convert to fraction form
    275,603/590,571 = 590,571/x
  3. Step 3: Cross multiply
    275,603x = 590,571 × 590,571
  4. Step 4: Simplify right side
    275,603x = 348,774,106,041
  5. Step 5: Solve for x
    x = 348,774,106,041/275,603
  6. Step 6: Final answer
    x = 1,265,494.59

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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.