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Finding the Third Proportional to 246,047.06 and 511,725.94

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Solution

The third proportional to 246,047.06 and 511,725.94 is: 1,064,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,047.06 : 511,725.94 = 511,725.94 : x
  2. Step 2: Convert to fraction form
    246,047.06/511,725.94 = 511,725.94/x
  3. Step 3: Cross multiply
    246,047.06x = 511,725.94 × 511,725.94
  4. Step 4: Simplify right side
    246,047.06x = 261,863,435,110.25
  5. Step 5: Solve for x
    x = 261,863,435,110.25/246,047.06
  6. Step 6: Final answer
    x = 1,064,281.90

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