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Finding the Third Proportional to 713,600 and 978,529

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Solution

The third proportional to 713,600 and 978,529 is: 1,341,814.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,600 : 978,529 = 978,529 : x
  2. Step 2: Convert to fraction form
    713,600/978,529 = 978,529/x
  3. Step 3: Cross multiply
    713,600x = 978,529 × 978,529
  4. Step 4: Simplify right side
    713,600x = 957,519,003,841
  5. Step 5: Solve for x
    x = 957,519,003,841/713,600
  6. Step 6: Final answer
    x = 1,341,814.75

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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.