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Finding the Third Proportional to 443,080.13 and 966,353.63

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Solution

The third proportional to 443,080.13 and 966,353.63 is: 2,107,608.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,080.13 : 966,353.63 = 966,353.63 : x
  2. Step 2: Convert to fraction form
    443,080.13/966,353.63 = 966,353.63/x
  3. Step 3: Cross multiply
    443,080.13x = 966,353.63 × 966,353.63
  4. Step 4: Simplify right side
    443,080.13x = 933,839,328,550.64
  5. Step 5: Solve for x
    x = 933,839,328,550.64/443,080.13
  6. Step 6: Final answer
    x = 2,107,608.25

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Why These Related Problems?

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