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Finding the Third Proportional to 713,492 and 978,380

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Solution

The third proportional to 713,492 and 978,380 is: 1,341,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,492 : 978,380 = 978,380 : x
  2. Step 2: Convert to fraction form
    713,492/978,380 = 978,380/x
  3. Step 3: Cross multiply
    713,492x = 978,380 × 978,380
  4. Step 4: Simplify right side
    713,492x = 957,227,424,400
  5. Step 5: Solve for x
    x = 957,227,424,400/713,492
  6. Step 6: Final answer
    x = 1,341,609.19

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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.