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Finding the Third Proportional to 233,490.94 and 486,896.06

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Solution

The third proportional to 233,490.94 and 486,896.06 is: 1,015,318.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,490.94 : 486,896.06 = 486,896.06 : x
  2. Step 2: Convert to fraction form
    233,490.94/486,896.06 = 486,896.06/x
  3. Step 3: Cross multiply
    233,490.94x = 486,896.06 × 486,896.06
  4. Step 4: Simplify right side
    233,490.94x = 237,067,775,678.00
  5. Step 5: Solve for x
    x = 237,067,775,678.00/233,490.94
  6. Step 6: Final answer
    x = 1,015,318.96

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.