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Finding the Third Proportional to 509,231.50 and 1,106,043.75

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Solution

The third proportional to 509,231.50 and 1,106,043.75 is: 2,402,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,231.50 : 1,106,043.75 = 1,106,043.75 : x
  2. Step 2: Convert to fraction form
    509,231.50/1,106,043.75 = 1,106,043.75/x
  3. Step 3: Cross multiply
    509,231.50x = 1,106,043.75 × 1,106,043.75
  4. Step 4: Simplify right side
    509,231.50x = 1,223,332,776,914.06
  5. Step 5: Solve for x
    x = 1,223,332,776,914.06/509,231.50
  6. Step 6: Final answer
    x = 2,402,311.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.