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Finding the Third Proportional to 384.19 and 816.19

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Solution

The third proportional to 384.19 and 816.19 is: 1,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.19 : 816.19 = 816.19 : x
  2. Step 2: Convert to fraction form
    384.19/816.19 = 816.19/x
  3. Step 3: Cross multiply
    384.19x = 816.19 × 816.19
  4. Step 4: Simplify right side
    384.19x = 666,162.04
  5. Step 5: Solve for x
    x = 666,162.04/384.19
  6. Step 6: Final answer
    x = 1,733.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.