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Finding the Third Proportional to 619,311.75 and 957,147.75

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Solution

The third proportional to 619,311.75 and 957,147.75 is: 1,479,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,311.75 : 957,147.75 = 957,147.75 : x
  2. Step 2: Convert to fraction form
    619,311.75/957,147.75 = 957,147.75/x
  3. Step 3: Cross multiply
    619,311.75x = 957,147.75 × 957,147.75
  4. Step 4: Simplify right side
    619,311.75x = 916,131,815,330.06
  5. Step 5: Solve for x
    x = 916,131,815,330.06/619,311.75
  6. Step 6: Final answer
    x = 1,479,274.07

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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.