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Finding the Third Proportional to 306,514.13 and 668,206.97

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Solution

The third proportional to 306,514.13 and 668,206.97 is: 1,456,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,514.13 : 668,206.97 = 668,206.97 : x
  2. Step 2: Convert to fraction form
    306,514.13/668,206.97 = 668,206.97/x
  3. Step 3: Cross multiply
    306,514.13x = 668,206.97 × 668,206.97
  4. Step 4: Simplify right side
    306,514.13x = 446,500,553,086.06
  5. Step 5: Solve for x
    x = 446,500,553,086.06/306,514.13
  6. Step 6: Final answer
    x = 1,456,704.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.