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Finding the Third Proportional to 609.47 and 942.84

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Solution

The third proportional to 609.47 and 942.84 is: 1,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.47 : 942.84 = 942.84 : x
  2. Step 2: Convert to fraction form
    609.47/942.84 = 942.84/x
  3. Step 3: Cross multiply
    609.47x = 942.84 × 942.84
  4. Step 4: Simplify right side
    609.47x = 888,954.34
  5. Step 5: Solve for x
    x = 888,954.34/609.47
  6. Step 6: Final answer
    x = 1,458.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.