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Finding the Third Proportional to 213,662.25 and 455,927.63

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Solution

The third proportional to 213,662.25 and 455,927.63 is: 972,890.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,662.25 : 455,927.63 = 455,927.63 : x
  2. Step 2: Convert to fraction form
    213,662.25/455,927.63 = 455,927.63/x
  3. Step 3: Cross multiply
    213,662.25x = 455,927.63 × 455,927.63
  4. Step 4: Simplify right side
    213,662.25x = 207,869,999,238.14
  5. Step 5: Solve for x
    x = 207,869,999,238.14/213,662.25
  6. Step 6: Final answer
    x = 972,890.62

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.