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Finding the Third Proportional to 512,698.50 and 1,104,286.50

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Solution

The third proportional to 512,698.50 and 1,104,286.50 is: 2,378,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,698.50 : 1,104,286.50 = 1,104,286.50 : x
  2. Step 2: Convert to fraction form
    512,698.50/1,104,286.50 = 1,104,286.50/x
  3. Step 3: Cross multiply
    512,698.50x = 1,104,286.50 × 1,104,286.50
  4. Step 4: Simplify right side
    512,698.50x = 1,219,448,674,082.25
  5. Step 5: Solve for x
    x = 1,219,448,674,082.25/512,698.50
  6. Step 6: Final answer
    x = 2,378,490.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.