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Finding the Third Proportional to 713,441 and 978,301

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Solution

The third proportional to 713,441 and 978,301 is: 1,341,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,441 : 978,301 = 978,301 : x
  2. Step 2: Convert to fraction form
    713,441/978,301 = 978,301/x
  3. Step 3: Cross multiply
    713,441x = 978,301 × 978,301
  4. Step 4: Simplify right side
    713,441x = 957,072,846,601
  5. Step 5: Solve for x
    x = 957,072,846,601/713,441
  6. Step 6: Final answer
    x = 1,341,488.43

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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.