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Finding the Third Proportional to 214,804.41 and 470,922.61

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Solution

The third proportional to 214,804.41 and 470,922.61 is: 1,032,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,804.41 : 470,922.61 = 470,922.61 : x
  2. Step 2: Convert to fraction form
    214,804.41/470,922.61 = 470,922.61/x
  3. Step 3: Cross multiply
    214,804.41x = 470,922.61 × 470,922.61
  4. Step 4: Simplify right side
    214,804.41x = 221,768,104,020.56
  5. Step 5: Solve for x
    x = 221,768,104,020.56/214,804.41
  6. Step 6: Final answer
    x = 1,032,418.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.