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Finding the Third Proportional to 295,864 and 646,969

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Solution

The third proportional to 295,864 and 646,969 is: 1,414,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,864 : 646,969 = 646,969 : x
  2. Step 2: Convert to fraction form
    295,864/646,969 = 646,969/x
  3. Step 3: Cross multiply
    295,864x = 646,969 × 646,969
  4. Step 4: Simplify right side
    295,864x = 418,568,886,961
  5. Step 5: Solve for x
    x = 418,568,886,961/295,864
  6. Step 6: Final answer
    x = 1,414,734.09

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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.