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Finding the Third Proportional to 350,103.94 and 540,703.69

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Solution

The third proportional to 350,103.94 and 540,703.69 is: 835,067.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,103.94 : 540,703.69 = 540,703.69 : x
  2. Step 2: Convert to fraction form
    350,103.94/540,703.69 = 540,703.69/x
  3. Step 3: Cross multiply
    350,103.94x = 540,703.69 × 540,703.69
  4. Step 4: Simplify right side
    350,103.94x = 292,360,477,676.10
  5. Step 5: Solve for x
    x = 292,360,477,676.10/350,103.94
  6. Step 6: Final answer
    x = 835,067.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.