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Finding the Third Proportional to 333,668.11 and 517,091.34

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Solution

The third proportional to 333,668.11 and 517,091.34 is: 801,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,668.11 : 517,091.34 = 517,091.34 : x
  2. Step 2: Convert to fraction form
    333,668.11/517,091.34 = 517,091.34/x
  3. Step 3: Cross multiply
    333,668.11x = 517,091.34 × 517,091.34
  4. Step 4: Simplify right side
    333,668.11x = 267,383,457,781.18
  5. Step 5: Solve for x
    x = 267,383,457,781.18/333,668.11
  6. Step 6: Final answer
    x = 801,345.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.