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Finding the Third Proportional to 233,583.75 and 496,228.78

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Solution

The third proportional to 233,583.75 and 496,228.78 is: 1,054,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,583.75 : 496,228.78 = 496,228.78 : x
  2. Step 2: Convert to fraction form
    233,583.75/496,228.78 = 496,228.78/x
  3. Step 3: Cross multiply
    233,583.75x = 496,228.78 × 496,228.78
  4. Step 4: Simplify right side
    233,583.75x = 246,243,003,340.86
  5. Step 5: Solve for x
    x = 246,243,003,340.86/233,583.75
  6. Step 6: Final answer
    x = 1,054,195.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.