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Finding the Third Proportional to 373,533.75 and 825,567.75

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Solution

The third proportional to 373,533.75 and 825,567.75 is: 1,824,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,533.75 : 825,567.75 = 825,567.75 : x
  2. Step 2: Convert to fraction form
    373,533.75/825,567.75 = 825,567.75/x
  3. Step 3: Cross multiply
    373,533.75x = 825,567.75 × 825,567.75
  4. Step 4: Simplify right side
    373,533.75x = 681,562,109,840.06
  5. Step 5: Solve for x
    x = 681,562,109,840.06/373,533.75
  6. Step 6: Final answer
    x = 1,824,633.28

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.