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Finding the Third Proportional to 764,795.25 and 1,649,328.75

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Solution

The third proportional to 764,795.25 and 1,649,328.75 is: 3,556,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,795.25 : 1,649,328.75 = 1,649,328.75 : x
  2. Step 2: Convert to fraction form
    764,795.25/1,649,328.75 = 1,649,328.75/x
  3. Step 3: Cross multiply
    764,795.25x = 1,649,328.75 × 1,649,328.75
  4. Step 4: Simplify right side
    764,795.25x = 2,720,285,325,576.56
  5. Step 5: Solve for x
    x = 2,720,285,325,576.56/764,795.25
  6. Step 6: Final answer
    x = 3,556,880.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.