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Finding the Third Proportional to 295,571 and 612,162

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Solution

The third proportional to 295,571 and 612,162 is: 1,267,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,571 : 612,162 = 612,162 : x
  2. Step 2: Convert to fraction form
    295,571/612,162 = 612,162/x
  3. Step 3: Cross multiply
    295,571x = 612,162 × 612,162
  4. Step 4: Simplify right side
    295,571x = 374,742,314,244
  5. Step 5: Solve for x
    x = 374,742,314,244/295,571
  6. Step 6: Final answer
    x = 1,267,858.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.