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Finding the Third Proportional to 447,042.38 and 958,003.88

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Solution

The third proportional to 447,042.38 and 958,003.88 is: 2,052,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,042.38 : 958,003.88 = 958,003.88 : x
  2. Step 2: Convert to fraction form
    447,042.38/958,003.88 = 958,003.88/x
  3. Step 3: Cross multiply
    447,042.38x = 958,003.88 × 958,003.88
  4. Step 4: Simplify right side
    447,042.38x = 917,771,424,515.02
  5. Step 5: Solve for x
    x = 917,771,424,515.02/447,042.38
  6. Step 6: Final answer
    x = 2,052,985.30

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