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Finding the Third Proportional to 295,573 and 612,166

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Solution

The third proportional to 295,573 and 612,166 is: 1,267,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,573 : 612,166 = 612,166 : x
  2. Step 2: Convert to fraction form
    295,573/612,166 = 612,166/x
  3. Step 3: Cross multiply
    295,573x = 612,166 × 612,166
  4. Step 4: Simplify right side
    295,573x = 374,747,211,556
  5. Step 5: Solve for x
    x = 374,747,211,556/295,573
  6. Step 6: Final answer
    x = 1,267,866.86

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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.