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Finding the Third Proportional to 434.81 and 937.88

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Solution

The third proportional to 434.81 and 937.88 is: 2,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.81 : 937.88 = 937.88 : x
  2. Step 2: Convert to fraction form
    434.81/937.88 = 937.88/x
  3. Step 3: Cross multiply
    434.81x = 937.88 × 937.88
  4. Step 4: Simplify right side
    434.81x = 879,609.52
  5. Step 5: Solve for x
    x = 879,609.52/434.81
  6. Step 6: Final answer
    x = 2,022.96

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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.