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Finding the Third Proportional to 713,398 and 978,241

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Solution

The third proportional to 713,398 and 978,241 is: 1,341,404.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,398 : 978,241 = 978,241 : x
  2. Step 2: Convert to fraction form
    713,398/978,241 = 978,241/x
  3. Step 3: Cross multiply
    713,398x = 978,241 × 978,241
  4. Step 4: Simplify right side
    713,398x = 956,955,454,081
  5. Step 5: Solve for x
    x = 956,955,454,081/713,398
  6. Step 6: Final answer
    x = 1,341,404.73

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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.