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Finding the Third Proportional to 347,611.50 and 753,867

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Solution

The third proportional to 347,611.50 and 753,867 is: 1,634,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,611.50 : 753,867 = 753,867 : x
  2. Step 2: Convert to fraction form
    347,611.50/753,867 = 753,867/x
  3. Step 3: Cross multiply
    347,611.50x = 753,867 × 753,867
  4. Step 4: Simplify right side
    347,611.50x = 568,315,453,689
  5. Step 5: Solve for x
    x = 568,315,453,689/347,611.50
  6. Step 6: Final answer
    x = 1,634,915.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.