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Finding the Third Proportional to 233,193.94 and 494,411.98

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Solution

The third proportional to 233,193.94 and 494,411.98 is: 1,048,239.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,193.94 : 494,411.98 = 494,411.98 : x
  2. Step 2: Convert to fraction form
    233,193.94/494,411.98 = 494,411.98/x
  3. Step 3: Cross multiply
    233,193.94x = 494,411.98 × 494,411.98
  4. Step 4: Simplify right side
    233,193.94x = 244,443,202,568.44
  5. Step 5: Solve for x
    x = 244,443,202,568.44/233,193.94
  6. Step 6: Final answer
    x = 1,048,239.96

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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.