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Finding the Third Proportional to 375.96 and 578.64

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Solution

The third proportional to 375.96 and 578.64 is: 890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.96 : 578.64 = 578.64 : x
  2. Step 2: Convert to fraction form
    375.96/578.64 = 578.64/x
  3. Step 3: Cross multiply
    375.96x = 578.64 × 578.64
  4. Step 4: Simplify right side
    375.96x = 334,820.45
  5. Step 5: Solve for x
    x = 334,820.45/375.96
  6. Step 6: Final answer
    x = 890.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.