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Finding the Third Proportional to 655,942.50 and 985,938.75

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Solution

The third proportional to 655,942.50 and 985,938.75 is: 1,481,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,942.50 : 985,938.75 = 985,938.75 : x
  2. Step 2: Convert to fraction form
    655,942.50/985,938.75 = 985,938.75/x
  3. Step 3: Cross multiply
    655,942.50x = 985,938.75 × 985,938.75
  4. Step 4: Simplify right side
    655,942.50x = 972,075,218,751.56
  5. Step 5: Solve for x
    x = 972,075,218,751.56/655,942.50
  6. Step 6: Final answer
    x = 1,481,951.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.