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Finding the Third Proportional to 276,048 and 604,080

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Solution

The third proportional to 276,048 and 604,080 is: 1,321,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,048 : 604,080 = 604,080 : x
  2. Step 2: Convert to fraction form
    276,048/604,080 = 604,080/x
  3. Step 3: Cross multiply
    276,048x = 604,080 × 604,080
  4. Step 4: Simplify right side
    276,048x = 364,912,646,400
  5. Step 5: Solve for x
    x = 364,912,646,400/276,048
  6. Step 6: Final answer
    x = 1,321,917.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.