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Finding the Third Proportional to 351,382.50 and 770,481

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Solution

The third proportional to 351,382.50 and 770,481 is: 1,689,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,382.50 : 770,481 = 770,481 : x
  2. Step 2: Convert to fraction form
    351,382.50/770,481 = 770,481/x
  3. Step 3: Cross multiply
    351,382.50x = 770,481 × 770,481
  4. Step 4: Simplify right side
    351,382.50x = 593,640,971,361
  5. Step 5: Solve for x
    x = 593,640,971,361/351,382.50
  6. Step 6: Final answer
    x = 1,689,443.76

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Why These Related Problems?

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