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Finding the Third Proportional to 713,443 and 978,305

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Solution

The third proportional to 713,443 and 978,305 is: 1,341,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,443 : 978,305 = 978,305 : x
  2. Step 2: Convert to fraction form
    713,443/978,305 = 978,305/x
  3. Step 3: Cross multiply
    713,443x = 978,305 × 978,305
  4. Step 4: Simplify right side
    713,443x = 957,080,673,025
  5. Step 5: Solve for x
    x = 957,080,673,025/713,443
  6. Step 6: Final answer
    x = 1,341,495.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.