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Finding the Third Proportional to 281,945.25 and 619,969.50

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Solution

The third proportional to 281,945.25 and 619,969.50 is: 1,363,251.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,945.25 : 619,969.50 = 619,969.50 : x
  2. Step 2: Convert to fraction form
    281,945.25/619,969.50 = 619,969.50/x
  3. Step 3: Cross multiply
    281,945.25x = 619,969.50 × 619,969.50
  4. Step 4: Simplify right side
    281,945.25x = 384,362,180,930.25
  5. Step 5: Solve for x
    x = 384,362,180,930.25/281,945.25
  6. Step 6: Final answer
    x = 1,363,251.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.