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Finding the Third Proportional to 348.13 and 824.75

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Solution

The third proportional to 348.13 and 824.75 is: 1,953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.13 : 824.75 = 824.75 : x
  2. Step 2: Convert to fraction form
    348.13/824.75 = 824.75/x
  3. Step 3: Cross multiply
    348.13x = 824.75 × 824.75
  4. Step 4: Simplify right side
    348.13x = 680,212.56
  5. Step 5: Solve for x
    x = 680,212.56/348.13
  6. Step 6: Final answer
    x = 1,953.93

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.