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Finding the Third Proportional to 434.88 and 960.89

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Solution

The third proportional to 434.88 and 960.89 is: 2,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.88 : 960.89 = 960.89 : x
  2. Step 2: Convert to fraction form
    434.88/960.89 = 960.89/x
  3. Step 3: Cross multiply
    434.88x = 960.89 × 960.89
  4. Step 4: Simplify right side
    434.88x = 923,310.79
  5. Step 5: Solve for x
    x = 923,310.79/434.88
  6. Step 6: Final answer
    x = 2,123.13

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.