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Finding the Third Proportional to 275,191.50 and 420,994.50

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Solution

The third proportional to 275,191.50 and 420,994.50 is: 644,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,191.50 : 420,994.50 = 420,994.50 : x
  2. Step 2: Convert to fraction form
    275,191.50/420,994.50 = 420,994.50/x
  3. Step 3: Cross multiply
    275,191.50x = 420,994.50 × 420,994.50
  4. Step 4: Simplify right side
    275,191.50x = 177,236,369,030.25
  5. Step 5: Solve for x
    x = 177,236,369,030.25/275,191.50
  6. Step 6: Final answer
    x = 644,047.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.