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Finding the Third Proportional to 278,501.25 and 594,586.50

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Solution

The third proportional to 278,501.25 and 594,586.50 is: 1,269,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,501.25 : 594,586.50 = 594,586.50 : x
  2. Step 2: Convert to fraction form
    278,501.25/594,586.50 = 594,586.50/x
  3. Step 3: Cross multiply
    278,501.25x = 594,586.50 × 594,586.50
  4. Step 4: Simplify right side
    278,501.25x = 353,533,105,982.25
  5. Step 5: Solve for x
    x = 353,533,105,982.25/278,501.25
  6. Step 6: Final answer
    x = 1,269,413.00

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.