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Finding the Third Proportional to 295,530 and 612,081

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Solution

The third proportional to 295,530 and 612,081 is: 1,267,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,530 : 612,081 = 612,081 : x
  2. Step 2: Convert to fraction form
    295,530/612,081 = 612,081/x
  3. Step 3: Cross multiply
    295,530x = 612,081 × 612,081
  4. Step 4: Simplify right side
    295,530x = 374,643,150,561
  5. Step 5: Solve for x
    x = 374,643,150,561/295,530
  6. Step 6: Final answer
    x = 1,267,699.22

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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.