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Finding the Third Proportional to 276,534 and 590,976

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Solution

The third proportional to 276,534 and 590,976 is: 1,262,964.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,534 : 590,976 = 590,976 : x
  2. Step 2: Convert to fraction form
    276,534/590,976 = 590,976/x
  3. Step 3: Cross multiply
    276,534x = 590,976 × 590,976
  4. Step 4: Simplify right side
    276,534x = 349,252,632,576
  5. Step 5: Solve for x
    x = 349,252,632,576/276,534
  6. Step 6: Final answer
    x = 1,262,964.53

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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.