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Finding the Third Proportional to 356.25 and 824.38

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Solution

The third proportional to 356.25 and 824.38 is: 1,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.25 : 824.38 = 824.38 : x
  2. Step 2: Convert to fraction form
    356.25/824.38 = 824.38/x
  3. Step 3: Cross multiply
    356.25x = 824.38 × 824.38
  4. Step 4: Simplify right side
    356.25x = 679,594.14
  5. Step 5: Solve for x
    x = 679,594.14/356.25
  6. Step 6: Final answer
    x = 1,907.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.