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Finding the Third Proportional to 375 and 824.56

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Solution

The third proportional to 375 and 824.56 is: 1,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375 : 824.56 = 824.56 : x
  2. Step 2: Convert to fraction form
    375/824.56 = 824.56/x
  3. Step 3: Cross multiply
    375x = 824.56 × 824.56
  4. Step 4: Simplify right side
    375x = 679,903.32
  5. Step 5: Solve for x
    x = 679,903.32/375
  6. Step 6: Final answer
    x = 1,813.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.