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Finding the Third Proportional to 275,072.63 and 420,783.19

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Solution

The third proportional to 275,072.63 and 420,783.19 is: 643,679.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,072.63 : 420,783.19 = 420,783.19 : x
  2. Step 2: Convert to fraction form
    275,072.63/420,783.19 = 420,783.19/x
  3. Step 3: Cross multiply
    275,072.63x = 420,783.19 × 420,783.19
  4. Step 4: Simplify right side
    275,072.63x = 177,058,490,882.66
  5. Step 5: Solve for x
    x = 177,058,490,882.66/275,072.63
  6. Step 6: Final answer
    x = 643,679.07

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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.