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Finding the Third Proportional to 384.54 and 594.74

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Solution

The third proportional to 384.54 and 594.74 is: 919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.54 : 594.74 = 594.74 : x
  2. Step 2: Convert to fraction form
    384.54/594.74 = 594.74/x
  3. Step 3: Cross multiply
    384.54x = 594.74 × 594.74
  4. Step 4: Simplify right side
    384.54x = 353,713.62
  5. Step 5: Solve for x
    x = 353,713.62/384.54
  6. Step 6: Final answer
    x = 919.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.