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Finding the Third Proportional to 619,096.50 and 925,797.38

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Solution

The third proportional to 619,096.50 and 925,797.38 is: 1,384,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,096.50 : 925,797.38 = 925,797.38 : x
  2. Step 2: Convert to fraction form
    619,096.50/925,797.38 = 925,797.38/x
  3. Step 3: Cross multiply
    619,096.50x = 925,797.38 × 925,797.38
  4. Step 4: Simplify right side
    619,096.50x = 857,100,779,556.89
  5. Step 5: Solve for x
    x = 857,100,779,556.89/619,096.50
  6. Step 6: Final answer
    x = 1,384,438.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.