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Finding the Third Proportional to 246,933.56 and 380,659.50

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Solution

The third proportional to 246,933.56 and 380,659.50 is: 586,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,933.56 : 380,659.50 = 380,659.50 : x
  2. Step 2: Convert to fraction form
    246,933.56/380,659.50 = 380,659.50/x
  3. Step 3: Cross multiply
    246,933.56x = 380,659.50 × 380,659.50
  4. Step 4: Simplify right side
    246,933.56x = 144,901,654,940.25
  5. Step 5: Solve for x
    x = 144,901,654,940.25/246,933.56
  6. Step 6: Final answer
    x = 586,804.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.