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Finding the Third Proportional to 433,222.88 and 966,057.75

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Solution

The third proportional to 433,222.88 and 966,057.75 is: 2,154,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,222.88 : 966,057.75 = 966,057.75 : x
  2. Step 2: Convert to fraction form
    433,222.88/966,057.75 = 966,057.75/x
  3. Step 3: Cross multiply
    433,222.88x = 966,057.75 × 966,057.75
  4. Step 4: Simplify right side
    433,222.88x = 933,267,576,335.06
  5. Step 5: Solve for x
    x = 933,267,576,335.06/433,222.88
  6. Step 6: Final answer
    x = 2,154,243.53

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.