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Finding the Third Proportional to 397,615.50 and 854,559

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Solution

The third proportional to 397,615.50 and 854,559 is: 1,836,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,615.50 : 854,559 = 854,559 : x
  2. Step 2: Convert to fraction form
    397,615.50/854,559 = 854,559/x
  3. Step 3: Cross multiply
    397,615.50x = 854,559 × 854,559
  4. Step 4: Simplify right side
    397,615.50x = 730,271,084,481
  5. Step 5: Solve for x
    x = 730,271,084,481/397,615.50
  6. Step 6: Final answer
    x = 1,836,626.30

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