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Finding the Third Proportional to 350,143.50 and 768,367.50

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Solution

The third proportional to 350,143.50 and 768,367.50 is: 1,686,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,143.50 : 768,367.50 = 768,367.50 : x
  2. Step 2: Convert to fraction form
    350,143.50/768,367.50 = 768,367.50/x
  3. Step 3: Cross multiply
    350,143.50x = 768,367.50 × 768,367.50
  4. Step 4: Simplify right side
    350,143.50x = 590,388,615,056.25
  5. Step 5: Solve for x
    x = 590,388,615,056.25/350,143.50
  6. Step 6: Final answer
    x = 1,686,133.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.