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Finding the Third Proportional to 713,592 and 978,517

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Solution

The third proportional to 713,592 and 978,517 is: 1,341,796.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,592 : 978,517 = 978,517 : x
  2. Step 2: Convert to fraction form
    713,592/978,517 = 978,517/x
  3. Step 3: Cross multiply
    713,592x = 978,517 × 978,517
  4. Step 4: Simplify right side
    713,592x = 957,495,519,289
  5. Step 5: Solve for x
    x = 957,495,519,289/713,592
  6. Step 6: Final answer
    x = 1,341,796.88

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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.