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Finding the Third Proportional to 713,454 and 978,324

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Solution

The third proportional to 713,454 and 978,324 is: 1,341,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,454 : 978,324 = 978,324 : x
  2. Step 2: Convert to fraction form
    713,454/978,324 = 978,324/x
  3. Step 3: Cross multiply
    713,454x = 978,324 × 978,324
  4. Step 4: Simplify right side
    713,454x = 957,117,848,976
  5. Step 5: Solve for x
    x = 957,117,848,976/713,454
  6. Step 6: Final answer
    x = 1,341,527.06

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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.