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Finding the Third Proportional to 276,754 and 604,782

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Solution

The third proportional to 276,754 and 604,782 is: 1,321,611.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,754 : 604,782 = 604,782 : x
  2. Step 2: Convert to fraction form
    276,754/604,782 = 604,782/x
  3. Step 3: Cross multiply
    276,754x = 604,782 × 604,782
  4. Step 4: Simplify right side
    276,754x = 365,761,267,524
  5. Step 5: Solve for x
    x = 365,761,267,524/276,754
  6. Step 6: Final answer
    x = 1,321,611.49

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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.