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Finding the Third Proportional to 350,300 and 754,325

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Solution

The third proportional to 350,300 and 754,325 is: 1,624,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,300 : 754,325 = 754,325 : x
  2. Step 2: Convert to fraction form
    350,300/754,325 = 754,325/x
  3. Step 3: Cross multiply
    350,300x = 754,325 × 754,325
  4. Step 4: Simplify right side
    350,300x = 569,006,205,625
  5. Step 5: Solve for x
    x = 569,006,205,625/350,300
  6. Step 6: Final answer
    x = 1,624,339.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.