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Finding the Third Proportional to 377.75 and 829.63

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Solution

The third proportional to 377.75 and 829.63 is: 1,822.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.75 : 829.63 = 829.63 : x
  2. Step 2: Convert to fraction form
    377.75/829.63 = 829.63/x
  3. Step 3: Cross multiply
    377.75x = 829.63 × 829.63
  4. Step 4: Simplify right side
    377.75x = 688,277.64
  5. Step 5: Solve for x
    x = 688,277.64/377.75
  6. Step 6: Final answer
    x = 1,822.05

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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.