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Finding the Third Proportional to 350,487.75 and 525,137.63

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Solution

The third proportional to 350,487.75 and 525,137.63 is: 786,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,487.75 : 525,137.63 = 525,137.63 : x
  2. Step 2: Convert to fraction form
    350,487.75/525,137.63 = 525,137.63/x
  3. Step 3: Cross multiply
    350,487.75x = 525,137.63 × 525,137.63
  4. Step 4: Simplify right side
    350,487.75x = 275,769,525,190.64
  5. Step 5: Solve for x
    x = 275,769,525,190.64/350,487.75
  6. Step 6: Final answer
    x = 786,816.44

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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.