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Finding the Third Proportional to 228,504 and 364,896

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Solution

The third proportional to 228,504 and 364,896 is: 582,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,504 : 364,896 = 364,896 : x
  2. Step 2: Convert to fraction form
    228,504/364,896 = 364,896/x
  3. Step 3: Cross multiply
    228,504x = 364,896 × 364,896
  4. Step 4: Simplify right side
    228,504x = 133,149,090,816
  5. Step 5: Solve for x
    x = 133,149,090,816/228,504
  6. Step 6: Final answer
    x = 582,699.17

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.