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Finding the Third Proportional to 300,849.19 and 655,674.75

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Solution

The third proportional to 300,849.19 and 655,674.75 is: 1,428,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,849.19 : 655,674.75 = 655,674.75 : x
  2. Step 2: Convert to fraction form
    300,849.19/655,674.75 = 655,674.75/x
  3. Step 3: Cross multiply
    300,849.19x = 655,674.75 × 655,674.75
  4. Step 4: Simplify right side
    300,849.19x = 429,909,377,787.56
  5. Step 5: Solve for x
    x = 429,909,377,787.56/300,849.19
  6. Step 6: Final answer
    x = 1,428,986.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.