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Finding the Third Proportional to 383.06 and 573.12

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Solution

The third proportional to 383.06 and 573.12 is: 857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.06 : 573.12 = 573.12 : x
  2. Step 2: Convert to fraction form
    383.06/573.12 = 573.12/x
  3. Step 3: Cross multiply
    383.06x = 573.12 × 573.12
  4. Step 4: Simplify right side
    383.06x = 328,463.31
  5. Step 5: Solve for x
    x = 328,463.31/383.06
  6. Step 6: Final answer
    x = 857.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.