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Finding the Third Proportional to 248,925 and 546,234

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Solution

The third proportional to 248,925 and 546,234 is: 1,198,640.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,925 : 546,234 = 546,234 : x
  2. Step 2: Convert to fraction form
    248,925/546,234 = 546,234/x
  3. Step 3: Cross multiply
    248,925x = 546,234 × 546,234
  4. Step 4: Simplify right side
    248,925x = 298,371,582,756
  5. Step 5: Solve for x
    x = 298,371,582,756/248,925
  6. Step 6: Final answer
    x = 1,198,640.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.