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Finding the Third Proportional to 210,980.25 and 454,947.75

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Solution

The third proportional to 210,980.25 and 454,947.75 is: 981,027.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,980.25 : 454,947.75 = 454,947.75 : x
  2. Step 2: Convert to fraction form
    210,980.25/454,947.75 = 454,947.75/x
  3. Step 3: Cross multiply
    210,980.25x = 454,947.75 × 454,947.75
  4. Step 4: Simplify right side
    210,980.25x = 206,977,455,230.06
  5. Step 5: Solve for x
    x = 206,977,455,230.06/210,980.25
  6. Step 6: Final answer
    x = 981,027.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.