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Finding the Third Proportional to 345,296 and 754,635

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Solution

The third proportional to 345,296 and 754,635 is: 1,649,234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,296 : 754,635 = 754,635 : x
  2. Step 2: Convert to fraction form
    345,296/754,635 = 754,635/x
  3. Step 3: Cross multiply
    345,296x = 754,635 × 754,635
  4. Step 4: Simplify right side
    345,296x = 569,473,983,225
  5. Step 5: Solve for x
    x = 569,473,983,225/345,296
  6. Step 6: Final answer
    x = 1,649,234.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.