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Finding the Third Proportional to 213,468.75 and 458,593.31

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Solution

The third proportional to 213,468.75 and 458,593.31 is: 985,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,468.75 : 458,593.31 = 458,593.31 : x
  2. Step 2: Convert to fraction form
    213,468.75/458,593.31 = 458,593.31/x
  3. Step 3: Cross multiply
    213,468.75x = 458,593.31 × 458,593.31
  4. Step 4: Simplify right side
    213,468.75x = 210,307,826,269.72
  5. Step 5: Solve for x
    x = 210,307,826,269.72/213,468.75
  6. Step 6: Final answer
    x = 985,192.57

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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.