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Finding the Third Proportional to 276,048 and 591,462

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Solution

The third proportional to 276,048 and 591,462 is: 1,267,269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,048 : 591,462 = 591,462 : x
  2. Step 2: Convert to fraction form
    276,048/591,462 = 591,462/x
  3. Step 3: Cross multiply
    276,048x = 591,462 × 591,462
  4. Step 4: Simplify right side
    276,048x = 349,827,297,444
  5. Step 5: Solve for x
    x = 349,827,297,444/276,048
  6. Step 6: Final answer
    x = 1,267,269.81

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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.