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Finding the Third Proportional to 469,955.25 and 993,485.25

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Solution

The third proportional to 469,955.25 and 993,485.25 is: 2,100,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,955.25 : 993,485.25 = 993,485.25 : x
  2. Step 2: Convert to fraction form
    469,955.25/993,485.25 = 993,485.25/x
  3. Step 3: Cross multiply
    469,955.25x = 993,485.25 × 993,485.25
  4. Step 4: Simplify right side
    469,955.25x = 987,012,941,967.56
  5. Step 5: Solve for x
    x = 987,012,941,967.56/469,955.25
  6. Step 6: Final answer
    x = 2,100,227.50

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.