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Finding the Third Proportional to 441,514.13 and 950,415.38

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Solution

The third proportional to 441,514.13 and 950,415.38 is: 2,045,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,514.13 : 950,415.38 = 950,415.38 : x
  2. Step 2: Convert to fraction form
    441,514.13/950,415.38 = 950,415.38/x
  3. Step 3: Cross multiply
    441,514.13x = 950,415.38 × 950,415.38
  4. Step 4: Simplify right side
    441,514.13x = 903,289,385,036.39
  5. Step 5: Solve for x
    x = 903,289,385,036.39/441,514.13
  6. Step 6: Final answer
    x = 2,045,890.12

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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.