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Finding the Third Proportional to 382,731.13 and 823,963.75

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Solution

The third proportional to 382,731.13 and 823,963.75 is: 1,773,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,731.13 : 823,963.75 = 823,963.75 : x
  2. Step 2: Convert to fraction form
    382,731.13/823,963.75 = 823,963.75/x
  3. Step 3: Cross multiply
    382,731.13x = 823,963.75 × 823,963.75
  4. Step 4: Simplify right side
    382,731.13x = 678,916,261,314.06
  5. Step 5: Solve for x
    x = 678,916,261,314.06/382,731.13
  6. Step 6: Final answer
    x = 1,773,872.61

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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.