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Finding the Third Proportional to 350,074.50 and 543,112.50

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Solution

The third proportional to 350,074.50 and 543,112.50 is: 842,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,074.50 : 543,112.50 = 543,112.50 : x
  2. Step 2: Convert to fraction form
    350,074.50/543,112.50 = 543,112.50/x
  3. Step 3: Cross multiply
    350,074.50x = 543,112.50 × 543,112.50
  4. Step 4: Simplify right side
    350,074.50x = 294,971,187,656.25
  5. Step 5: Solve for x
    x = 294,971,187,656.25/350,074.50
  6. Step 6: Final answer
    x = 842,595.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.