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Finding the Third Proportional to 368.31 and 807.44

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Solution

The third proportional to 368.31 and 807.44 is: 1,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.31 : 807.44 = 807.44 : x
  2. Step 2: Convert to fraction form
    368.31/807.44 = 807.44/x
  3. Step 3: Cross multiply
    368.31x = 807.44 × 807.44
  4. Step 4: Simplify right side
    368.31x = 651,955.32
  5. Step 5: Solve for x
    x = 651,955.32/368.31
  6. Step 6: Final answer
    x = 1,770.11

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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.