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Finding the Third Proportional to 377,643.75 and 821,692.50

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Solution

The third proportional to 377,643.75 and 821,692.50 is: 1,787,871.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,643.75 : 821,692.50 = 821,692.50 : x
  2. Step 2: Convert to fraction form
    377,643.75/821,692.50 = 821,692.50/x
  3. Step 3: Cross multiply
    377,643.75x = 821,692.50 × 821,692.50
  4. Step 4: Simplify right side
    377,643.75x = 675,178,564,556.25
  5. Step 5: Solve for x
    x = 675,178,564,556.25/377,643.75
  6. Step 6: Final answer
    x = 1,787,871.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.