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Finding the Third Proportional to 246,093 and 511,828.50

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Solution

The third proportional to 246,093 and 511,828.50 is: 1,064,509.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,093 : 511,828.50 = 511,828.50 : x
  2. Step 2: Convert to fraction form
    246,093/511,828.50 = 511,828.50/x
  3. Step 3: Cross multiply
    246,093x = 511,828.50 × 511,828.50
  4. Step 4: Simplify right side
    246,093x = 261,968,413,412.25
  5. Step 5: Solve for x
    x = 261,968,413,412.25/246,093
  6. Step 6: Final answer
    x = 1,064,509.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.