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Finding the Third Proportional to 277,571.25 and 596,443.50

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Solution

The third proportional to 277,571.25 and 596,443.50 is: 1,281,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,571.25 : 596,443.50 = 596,443.50 : x
  2. Step 2: Convert to fraction form
    277,571.25/596,443.50 = 596,443.50/x
  3. Step 3: Cross multiply
    277,571.25x = 596,443.50 × 596,443.50
  4. Step 4: Simplify right side
    277,571.25x = 355,744,848,692.25
  5. Step 5: Solve for x
    x = 355,744,848,692.25/277,571.25
  6. Step 6: Final answer
    x = 1,281,634.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.