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Finding the Third Proportional to 439.03 and 946.41

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Solution

The third proportional to 439.03 and 946.41 is: 2,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.03 : 946.41 = 946.41 : x
  2. Step 2: Convert to fraction form
    439.03/946.41 = 946.41/x
  3. Step 3: Cross multiply
    439.03x = 946.41 × 946.41
  4. Step 4: Simplify right side
    439.03x = 895,684.79
  5. Step 5: Solve for x
    x = 895,684.79/439.03
  6. Step 6: Final answer
    x = 2,040.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.