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Finding the Third Proportional to 838.13 and 1,385.44

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Solution

The third proportional to 838.13 and 1,385.44 is: 2,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.13 : 1,385.44 = 1,385.44 : x
  2. Step 2: Convert to fraction form
    838.13/1,385.44 = 1,385.44/x
  3. Step 3: Cross multiply
    838.13x = 1,385.44 × 1,385.44
  4. Step 4: Simplify right side
    838.13x = 1,919,437.07
  5. Step 5: Solve for x
    x = 1,919,437.07/838.13
  6. Step 6: Final answer
    x = 2,290.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.