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Finding the Third Proportional to 713,462 and 978,333

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Solution

The third proportional to 713,462 and 978,333 is: 1,341,536.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,462 : 978,333 = 978,333 : x
  2. Step 2: Convert to fraction form
    713,462/978,333 = 978,333/x
  3. Step 3: Cross multiply
    713,462x = 978,333 × 978,333
  4. Step 4: Simplify right side
    713,462x = 957,135,458,889
  5. Step 5: Solve for x
    x = 957,135,458,889/713,462
  6. Step 6: Final answer
    x = 1,341,536.70

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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.