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Finding the Third Proportional to 402,311.13 and 837,692.25

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Solution

The third proportional to 402,311.13 and 837,692.25 is: 1,744,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,311.13 : 837,692.25 = 837,692.25 : x
  2. Step 2: Convert to fraction form
    402,311.13/837,692.25 = 837,692.25/x
  3. Step 3: Cross multiply
    402,311.13x = 837,692.25 × 837,692.25
  4. Step 4: Simplify right side
    402,311.13x = 701,728,305,710.06
  5. Step 5: Solve for x
    x = 701,728,305,710.06/402,311.13
  6. Step 6: Final answer
    x = 1,744,242.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.