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Finding the Third Proportional to 401,736 and 873,376

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Solution

The third proportional to 401,736 and 873,376 is: 1,898,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,736 : 873,376 = 873,376 : x
  2. Step 2: Convert to fraction form
    401,736/873,376 = 873,376/x
  3. Step 3: Cross multiply
    401,736x = 873,376 × 873,376
  4. Step 4: Simplify right side
    401,736x = 762,785,637,376
  5. Step 5: Solve for x
    x = 762,785,637,376/401,736
  6. Step 6: Final answer
    x = 1,898,723.63

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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.