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Finding the Third Proportional to 376,880.63 and 820,185.75

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Solution

The third proportional to 376,880.63 and 820,185.75 is: 1,784,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,880.63 : 820,185.75 = 820,185.75 : x
  2. Step 2: Convert to fraction form
    376,880.63/820,185.75 = 820,185.75/x
  3. Step 3: Cross multiply
    376,880.63x = 820,185.75 × 820,185.75
  4. Step 4: Simplify right side
    376,880.63x = 672,704,664,503.06
  5. Step 5: Solve for x
    x = 672,704,664,503.06/376,880.63
  6. Step 6: Final answer
    x = 1,784,927.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.