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Finding the Third Proportional to 234,203.63 and 503,928.84

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Solution

The third proportional to 234,203.63 and 503,928.84 is: 1,084,288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,203.63 : 503,928.84 = 503,928.84 : x
  2. Step 2: Convert to fraction form
    234,203.63/503,928.84 = 503,928.84/x
  3. Step 3: Cross multiply
    234,203.63x = 503,928.84 × 503,928.84
  4. Step 4: Simplify right side
    234,203.63x = 253,944,279,563.21
  5. Step 5: Solve for x
    x = 253,944,279,563.21/234,203.63
  6. Step 6: Final answer
    x = 1,084,288.42

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