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Finding the Third Proportional to 443,009.25 and 966,200.91

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Solution

The third proportional to 443,009.25 and 966,200.91 is: 2,107,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,009.25 : 966,200.91 = 966,200.91 : x
  2. Step 2: Convert to fraction form
    443,009.25/966,200.91 = 966,200.91/x
  3. Step 3: Cross multiply
    443,009.25x = 966,200.91 × 966,200.91
  4. Step 4: Simplify right side
    443,009.25x = 933,544,191,238.32
  5. Step 5: Solve for x
    x = 933,544,191,238.32/443,009.25
  6. Step 6: Final answer
    x = 2,107,279.23

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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.