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Finding the Third Proportional to 713,472 and 978,351

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Solution

The third proportional to 713,472 and 978,351 is: 1,341,567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,472 : 978,351 = 978,351 : x
  2. Step 2: Convert to fraction form
    713,472/978,351 = 978,351/x
  3. Step 3: Cross multiply
    713,472x = 978,351 × 978,351
  4. Step 4: Simplify right side
    713,472x = 957,170,679,201
  5. Step 5: Solve for x
    x = 957,170,679,201/713,472
  6. Step 6: Final answer
    x = 1,341,567.26

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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.