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Finding the Third Proportional to 368,724 and 796,500

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Solution

The third proportional to 368,724 and 796,500 is: 1,720,561.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,724 : 796,500 = 796,500 : x
  2. Step 2: Convert to fraction form
    368,724/796,500 = 796,500/x
  3. Step 3: Cross multiply
    368,724x = 796,500 × 796,500
  4. Step 4: Simplify right side
    368,724x = 634,412,250,000
  5. Step 5: Solve for x
    x = 634,412,250,000/368,724
  6. Step 6: Final answer
    x = 1,720,561.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.