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Finding the Third Proportional to 919.41 and 1,002.94

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Solution

The third proportional to 919.41 and 1,002.94 is: 1,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.41 : 1,002.94 = 1,002.94 : x
  2. Step 2: Convert to fraction form
    919.41/1,002.94 = 1,002.94/x
  3. Step 3: Cross multiply
    919.41x = 1,002.94 × 1,002.94
  4. Step 4: Simplify right side
    919.41x = 1,005,883.63
  5. Step 5: Solve for x
    x = 1,005,883.63/919.41
  6. Step 6: Final answer
    x = 1,094.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.