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Finding the Third Proportional to 351,950 and 770,416

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Solution

The third proportional to 351,950 and 770,416 is: 1,686,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,950 : 770,416 = 770,416 : x
  2. Step 2: Convert to fraction form
    351,950/770,416 = 770,416/x
  3. Step 3: Cross multiply
    351,950x = 770,416 × 770,416
  4. Step 4: Simplify right side
    351,950x = 593,540,813,056
  5. Step 5: Solve for x
    x = 593,540,813,056/351,950
  6. Step 6: Final answer
    x = 1,686,435.04

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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.