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Finding the Third Proportional to 275,220.75 and 425,283.75

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Solution

The third proportional to 275,220.75 and 425,283.75 is: 657,167.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,220.75 : 425,283.75 = 425,283.75 : x
  2. Step 2: Convert to fraction form
    275,220.75/425,283.75 = 425,283.75/x
  3. Step 3: Cross multiply
    275,220.75x = 425,283.75 × 425,283.75
  4. Step 4: Simplify right side
    275,220.75x = 180,866,268,014.06
  5. Step 5: Solve for x
    x = 180,866,268,014.06/275,220.75
  6. Step 6: Final answer
    x = 657,167.99

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.