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Finding the Third Proportional to 463,309.50 and 1,015,191

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Solution

The third proportional to 463,309.50 and 1,015,191 is: 2,224,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,309.50 : 1,015,191 = 1,015,191 : x
  2. Step 2: Convert to fraction form
    463,309.50/1,015,191 = 1,015,191/x
  3. Step 3: Cross multiply
    463,309.50x = 1,015,191 × 1,015,191
  4. Step 4: Simplify right side
    463,309.50x = 1,030,612,766,481
  5. Step 5: Solve for x
    x = 1,030,612,766,481/463,309.50
  6. Step 6: Final answer
    x = 2,224,458.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.