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Finding the Third Proportional to 713,446 and 978,315

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Solution

The third proportional to 713,446 and 978,315 is: 1,341,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,446 : 978,315 = 978,315 : x
  2. Step 2: Convert to fraction form
    713,446/978,315 = 978,315/x
  3. Step 3: Cross multiply
    713,446x = 978,315 × 978,315
  4. Step 4: Simplify right side
    713,446x = 957,100,239,225
  5. Step 5: Solve for x
    x = 957,100,239,225/713,446
  6. Step 6: Final answer
    x = 1,341,517.42

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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.