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Finding the Third Proportional to 443,444.25 and 972,729.75

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Solution

The third proportional to 443,444.25 and 972,729.75 is: 2,133,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,444.25 : 972,729.75 = 972,729.75 : x
  2. Step 2: Convert to fraction form
    443,444.25/972,729.75 = 972,729.75/x
  3. Step 3: Cross multiply
    443,444.25x = 972,729.75 × 972,729.75
  4. Step 4: Simplify right side
    443,444.25x = 946,203,166,535.06
  5. Step 5: Solve for x
    x = 946,203,166,535.06/443,444.25
  6. Step 6: Final answer
    x = 2,133,759.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.