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Finding the Third Proportional to 389.60 and 838.05

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Solution

The third proportional to 389.60 and 838.05 is: 1,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.60 : 838.05 = 838.05 : x
  2. Step 2: Convert to fraction form
    389.60/838.05 = 838.05/x
  3. Step 3: Cross multiply
    389.60x = 838.05 × 838.05
  4. Step 4: Simplify right side
    389.60x = 702,335.66
  5. Step 5: Solve for x
    x = 702,335.66/389.60
  6. Step 6: Final answer
    x = 1,802.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.