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Finding the Third Proportional to 342,236 and 706,152

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Solution

The third proportional to 342,236 and 706,152 is: 1,457,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,236 : 706,152 = 706,152 : x
  2. Step 2: Convert to fraction form
    342,236/706,152 = 706,152/x
  3. Step 3: Cross multiply
    342,236x = 706,152 × 706,152
  4. Step 4: Simplify right side
    342,236x = 498,650,647,104
  5. Step 5: Solve for x
    x = 498,650,647,104/342,236
  6. Step 6: Final answer
    x = 1,457,037.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.