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Finding the Third Proportional to 228,533.50 and 496,379

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Solution

The third proportional to 228,533.50 and 496,379 is: 1,078,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,533.50 : 496,379 = 496,379 : x
  2. Step 2: Convert to fraction form
    228,533.50/496,379 = 496,379/x
  3. Step 3: Cross multiply
    228,533.50x = 496,379 × 496,379
  4. Step 4: Simplify right side
    228,533.50x = 246,392,111,641
  5. Step 5: Solve for x
    x = 246,392,111,641/228,533.50
  6. Step 6: Final answer
    x = 1,078,144.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.