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Finding the Third Proportional to 804.50 and 1,553.50

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Solution

The third proportional to 804.50 and 1,553.50 is: 2,999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.50 : 1,553.50 = 1,553.50 : x
  2. Step 2: Convert to fraction form
    804.50/1,553.50 = 1,553.50/x
  3. Step 3: Cross multiply
    804.50x = 1,553.50 × 1,553.50
  4. Step 4: Simplify right side
    804.50x = 2,413,362.25
  5. Step 5: Solve for x
    x = 2,413,362.25/804.50
  6. Step 6: Final answer
    x = 2,999.83

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.