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Finding the Third Proportional to 200,768.63 and 434,613.09

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Solution

The third proportional to 200,768.63 and 434,613.09 is: 940,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.63 : 434,613.09 = 434,613.09 : x
  2. Step 2: Convert to fraction form
    200,768.63/434,613.09 = 434,613.09/x
  3. Step 3: Cross multiply
    200,768.63x = 434,613.09 × 434,613.09
  4. Step 4: Simplify right side
    200,768.63x = 188,888,541,258.95
  5. Step 5: Solve for x
    x = 188,888,541,258.95/200,768.63
  6. Step 6: Final answer
    x = 940,826.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.