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Finding the Third Proportional to 713,596 and 978,523

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Solution

The third proportional to 713,596 and 978,523 is: 1,341,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,596 : 978,523 = 978,523 : x
  2. Step 2: Convert to fraction form
    713,596/978,523 = 978,523/x
  3. Step 3: Cross multiply
    713,596x = 978,523 × 978,523
  4. Step 4: Simplify right side
    713,596x = 957,507,261,529
  5. Step 5: Solve for x
    x = 957,507,261,529/713,596
  6. Step 6: Final answer
    x = 1,341,805.81

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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.