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Finding the Third Proportional to 389.60 and 852.40

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Solution

The third proportional to 389.60 and 852.40 is: 1,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 852.40 = 852.40 : x
  2. Step 2: Convert to fraction form
    389.60/852.40 = 852.40/x
  3. Step 3: Cross multiply
    389.60x = 852.40 × 852.40
  4. Step 4: Simplify right side
    389.60x = 726,583.10
  5. Step 5: Solve for x
    x = 726,583.10/389.60
  6. Step 6: Final answer
    x = 1,864.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.