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Finding the Third Proportional to 433,328 and 966,234

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Solution

The third proportional to 433,328 and 966,234 is: 2,154,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,328 : 966,234 = 966,234 : x
  2. Step 2: Convert to fraction form
    433,328/966,234 = 966,234/x
  3. Step 3: Cross multiply
    433,328x = 966,234 × 966,234
  4. Step 4: Simplify right side
    433,328x = 933,608,142,756
  5. Step 5: Solve for x
    x = 933,608,142,756/433,328
  6. Step 6: Final answer
    x = 2,154,506.85

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.