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Finding the Third Proportional to 333,296 and 733,300

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Solution

The third proportional to 333,296 and 733,300 is: 1,613,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,296 : 733,300 = 733,300 : x
  2. Step 2: Convert to fraction form
    333,296/733,300 = 733,300/x
  3. Step 3: Cross multiply
    333,296x = 733,300 × 733,300
  4. Step 4: Simplify right side
    333,296x = 537,728,890,000
  5. Step 5: Solve for x
    x = 537,728,890,000/333,296
  6. Step 6: Final answer
    x = 1,613,367.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.