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Finding the Third Proportional to 288,075 and 436,093.50

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Solution

The third proportional to 288,075 and 436,093.50 is: 660,166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,075 : 436,093.50 = 436,093.50 : x
  2. Step 2: Convert to fraction form
    288,075/436,093.50 = 436,093.50/x
  3. Step 3: Cross multiply
    288,075x = 436,093.50 × 436,093.50
  4. Step 4: Simplify right side
    288,075x = 190,177,540,742.25
  5. Step 5: Solve for x
    x = 190,177,540,742.25/288,075
  6. Step 6: Final answer
    x = 660,166.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.