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Finding the Third Proportional to 376 and 476.25

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Solution

The third proportional to 376 and 476.25 is: 603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    376 : 476.25 = 476.25 : x
  2. Step 2: Convert to fraction form
    376/476.25 = 476.25/x
  3. Step 3: Cross multiply
    376x = 476.25 × 476.25
  4. Step 4: Simplify right side
    376x = 226,814.06
  5. Step 5: Solve for x
    x = 226,814.06/376
  6. Step 6: Final answer
    x = 603.23

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.