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Finding the Third Proportional to 276,356 and 594,992

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Solution

The third proportional to 276,356 and 594,992 is: 1,281,012.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,356 : 594,992 = 594,992 : x
  2. Step 2: Convert to fraction form
    276,356/594,992 = 594,992/x
  3. Step 3: Cross multiply
    276,356x = 594,992 × 594,992
  4. Step 4: Simplify right side
    276,356x = 354,015,480,064
  5. Step 5: Solve for x
    x = 354,015,480,064/276,356
  6. Step 6: Final answer
    x = 1,281,012.46

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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.