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Finding the Third Proportional to 388,856 and 599,844

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Solution

The third proportional to 388,856 and 599,844 is: 925,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,856 : 599,844 = 599,844 : x
  2. Step 2: Convert to fraction form
    388,856/599,844 = 599,844/x
  3. Step 3: Cross multiply
    388,856x = 599,844 × 599,844
  4. Step 4: Simplify right side
    388,856x = 359,812,824,336
  5. Step 5: Solve for x
    x = 359,812,824,336/388,856
  6. Step 6: Final answer
    x = 925,311.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.