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Finding the Third Proportional to 213,042.94 and 458,273.25

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Solution

The third proportional to 213,042.94 and 458,273.25 is: 985,784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,042.94 : 458,273.25 = 458,273.25 : x
  2. Step 2: Convert to fraction form
    213,042.94/458,273.25 = 458,273.25/x
  3. Step 3: Cross multiply
    213,042.94x = 458,273.25 × 458,273.25
  4. Step 4: Simplify right side
    213,042.94x = 210,014,371,665.56
  5. Step 5: Solve for x
    x = 210,014,371,665.56/213,042.94
  6. Step 6: Final answer
    x = 985,784.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.