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Finding the Third Proportional to 274,368.50 and 578,625.50

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Solution

The third proportional to 274,368.50 and 578,625.50 is: 1,220,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,368.50 : 578,625.50 = 578,625.50 : x
  2. Step 2: Convert to fraction form
    274,368.50/578,625.50 = 578,625.50/x
  3. Step 3: Cross multiply
    274,368.50x = 578,625.50 × 578,625.50
  4. Step 4: Simplify right side
    274,368.50x = 334,807,469,250.25
  5. Step 5: Solve for x
    x = 334,807,469,250.25/274,368.50
  6. Step 6: Final answer
    x = 1,220,283.92

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.