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Finding the Third Proportional to 228,974 and 496,083

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Solution

The third proportional to 228,974 and 496,083 is: 1,074,787.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,974 : 496,083 = 496,083 : x
  2. Step 2: Convert to fraction form
    228,974/496,083 = 496,083/x
  3. Step 3: Cross multiply
    228,974x = 496,083 × 496,083
  4. Step 4: Simplify right side
    228,974x = 246,098,342,889
  5. Step 5: Solve for x
    x = 246,098,342,889/228,974
  6. Step 6: Final answer
    x = 1,074,787.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.