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Finding the Third Proportional to 213,825.38 and 462,941.44

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Solution

The third proportional to 213,825.38 and 462,941.44 is: 1,002,288.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,825.38 : 462,941.44 = 462,941.44 : x
  2. Step 2: Convert to fraction form
    213,825.38/462,941.44 = 462,941.44/x
  3. Step 3: Cross multiply
    213,825.38x = 462,941.44 × 462,941.44
  4. Step 4: Simplify right side
    213,825.38x = 214,314,774,554.57
  5. Step 5: Solve for x
    x = 214,314,774,554.57/213,825.38
  6. Step 6: Final answer
    x = 1,002,288.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.