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Finding the Third Proportional to 730.94 and 970.38

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Solution

The third proportional to 730.94 and 970.38 is: 1,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.94 : 970.38 = 970.38 : x
  2. Step 2: Convert to fraction form
    730.94/970.38 = 970.38/x
  3. Step 3: Cross multiply
    730.94x = 970.38 × 970.38
  4. Step 4: Simplify right side
    730.94x = 941,627.64
  5. Step 5: Solve for x
    x = 941,627.64/730.94
  6. Step 6: Final answer
    x = 1,288.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.