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Finding the Third Proportional to 187,485.75 and 412,492.50

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Solution

The third proportional to 187,485.75 and 412,492.50 is: 907,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,485.75 : 412,492.50 = 412,492.50 : x
  2. Step 2: Convert to fraction form
    187,485.75/412,492.50 = 412,492.50/x
  3. Step 3: Cross multiply
    187,485.75x = 412,492.50 × 412,492.50
  4. Step 4: Simplify right side
    187,485.75x = 170,150,062,556.25
  5. Step 5: Solve for x
    x = 170,150,062,556.25/187,485.75
  6. Step 6: Final answer
    x = 907,535.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.