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Finding the Third Proportional to 383 and 566.50

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Solution

The third proportional to 383 and 566.50 is: 837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    383 : 566.50 = 566.50 : x
  2. Step 2: Convert to fraction form
    383/566.50 = 566.50/x
  3. Step 3: Cross multiply
    383x = 566.50 × 566.50
  4. Step 4: Simplify right side
    383x = 320,922.25
  5. Step 5: Solve for x
    x = 320,922.25/383
  6. Step 6: Final answer
    x = 837.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.