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Finding the Third Proportional to 380.63 and 594.66

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Solution

The third proportional to 380.63 and 594.66 is: 929.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.63 : 594.66 = 594.66 : x
  2. Step 2: Convert to fraction form
    380.63/594.66 = 594.66/x
  3. Step 3: Cross multiply
    380.63x = 594.66 × 594.66
  4. Step 4: Simplify right side
    380.63x = 353,616.06
  5. Step 5: Solve for x
    x = 353,616.06/380.63
  6. Step 6: Final answer
    x = 929.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.