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Finding the Third Proportional to 713,498 and 978,390

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Solution

The third proportional to 713,498 and 978,390 is: 1,341,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,498 : 978,390 = 978,390 : x
  2. Step 2: Convert to fraction form
    713,498/978,390 = 978,390/x
  3. Step 3: Cross multiply
    713,498x = 978,390 × 978,390
  4. Step 4: Simplify right side
    713,498x = 957,246,992,100
  5. Step 5: Solve for x
    x = 957,246,992,100/713,498
  6. Step 6: Final answer
    x = 1,341,625.33

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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.