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Finding the Third Proportional to 197,924.63 and 423,873

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Solution

The third proportional to 197,924.63 and 423,873 is: 907,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,924.63 : 423,873 = 423,873 : x
  2. Step 2: Convert to fraction form
    197,924.63/423,873 = 423,873/x
  3. Step 3: Cross multiply
    197,924.63x = 423,873 × 423,873
  4. Step 4: Simplify right side
    197,924.63x = 179,668,320,129
  5. Step 5: Solve for x
    x = 179,668,320,129/197,924.63
  6. Step 6: Final answer
    x = 907,761.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.