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Finding the Third Proportional to 274,658 and 590,404

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Solution

The third proportional to 274,658 and 590,404 is: 1,269,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,658 : 590,404 = 590,404 : x
  2. Step 2: Convert to fraction form
    274,658/590,404 = 590,404/x
  3. Step 3: Cross multiply
    274,658x = 590,404 × 590,404
  4. Step 4: Simplify right side
    274,658x = 348,576,883,216
  5. Step 5: Solve for x
    x = 348,576,883,216/274,658
  6. Step 6: Final answer
    x = 1,269,130.64

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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.