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Finding the Third Proportional to 433,221.75 and 966,054.38

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Solution

The third proportional to 433,221.75 and 966,054.38 is: 2,154,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,221.75 : 966,054.38 = 966,054.38 : x
  2. Step 2: Convert to fraction form
    433,221.75/966,054.38 = 966,054.38/x
  3. Step 3: Cross multiply
    433,221.75x = 966,054.38 × 966,054.38
  4. Step 4: Simplify right side
    433,221.75x = 933,261,055,456.64
  5. Step 5: Solve for x
    x = 933,261,055,456.64/433,221.75
  6. Step 6: Final answer
    x = 2,154,234.07

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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.