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Finding the Third Proportional to 412,199.44 and 655,701.19

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Solution

The third proportional to 412,199.44 and 655,701.19 is: 1,043,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,199.44 : 655,701.19 = 655,701.19 : x
  2. Step 2: Convert to fraction form
    412,199.44/655,701.19 = 655,701.19/x
  3. Step 3: Cross multiply
    412,199.44x = 655,701.19 × 655,701.19
  4. Step 4: Simplify right side
    412,199.44x = 429,944,047,288.91
  5. Step 5: Solve for x
    x = 429,944,047,288.91/412,199.44
  6. Step 6: Final answer
    x = 1,043,048.60

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.