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Finding the Third Proportional to 713,648 and 978,573

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Solution

The third proportional to 713,648 and 978,573 is: 1,341,845.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,648 : 978,573 = 978,573 : x
  2. Step 2: Convert to fraction form
    713,648/978,573 = 978,573/x
  3. Step 3: Cross multiply
    713,648x = 978,573 × 978,573
  4. Step 4: Simplify right side
    713,648x = 957,605,116,329
  5. Step 5: Solve for x
    x = 957,605,116,329/713,648
  6. Step 6: Final answer
    x = 1,341,845.16

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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.