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Finding the Third Proportional to 325,758 and 700,764

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Solution

The third proportional to 325,758 and 700,764 is: 1,507,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,758 : 700,764 = 700,764 : x
  2. Step 2: Convert to fraction form
    325,758/700,764 = 700,764/x
  3. Step 3: Cross multiply
    325,758x = 700,764 × 700,764
  4. Step 4: Simplify right side
    325,758x = 491,070,183,696
  5. Step 5: Solve for x
    x = 491,070,183,696/325,758
  6. Step 6: Final answer
    x = 1,507,469.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.