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Finding the Third Proportional to 511,150.50 and 791,375.06

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Solution

The third proportional to 511,150.50 and 791,375.06 is: 1,225,225.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,150.50 : 791,375.06 = 791,375.06 : x
  2. Step 2: Convert to fraction form
    511,150.50/791,375.06 = 791,375.06/x
  3. Step 3: Cross multiply
    511,150.50x = 791,375.06 × 791,375.06
  4. Step 4: Simplify right side
    511,150.50x = 626,274,489,546.88
  5. Step 5: Solve for x
    x = 626,274,489,546.88/511,150.50
  6. Step 6: Final answer
    x = 1,225,225.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.