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Finding the Third Proportional to 349.88 and 824.63

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Solution

The third proportional to 349.88 and 824.63 is: 1,943.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.88 : 824.63 = 824.63 : x
  2. Step 2: Convert to fraction form
    349.88/824.63 = 824.63/x
  3. Step 3: Cross multiply
    349.88x = 824.63 × 824.63
  4. Step 4: Simplify right side
    349.88x = 680,006.39
  5. Step 5: Solve for x
    x = 680,006.39/349.88
  6. Step 6: Final answer
    x = 1,943.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.