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Finding the Third Proportional to 383.63 and 829.90

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Solution

The third proportional to 383.63 and 829.90 is: 1,795.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.63 : 829.90 = 829.90 : x
  2. Step 2: Convert to fraction form
    383.63/829.90 = 829.90/x
  3. Step 3: Cross multiply
    383.63x = 829.90 × 829.90
  4. Step 4: Simplify right side
    383.63x = 688,731.42
  5. Step 5: Solve for x
    x = 688,731.42/383.63
  6. Step 6: Final answer
    x = 1,795.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.