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Finding the Third Proportional to 375.94 and 803.63

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Solution

The third proportional to 375.94 and 803.63 is: 1,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 803.63 = 803.63 : x
  2. Step 2: Convert to fraction form
    375.94/803.63 = 803.63/x
  3. Step 3: Cross multiply
    375.94x = 803.63 × 803.63
  4. Step 4: Simplify right side
    375.94x = 645,813.14
  5. Step 5: Solve for x
    x = 645,813.14/375.94
  6. Step 6: Final answer
    x = 1,717.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.