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Finding the Third Proportional to 412,912.13 and 611,692.88

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Solution

The third proportional to 412,912.13 and 611,692.88 is: 906,169.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,912.13 : 611,692.88 = 611,692.88 : x
  2. Step 2: Convert to fraction form
    412,912.13/611,692.88 = 611,692.88/x
  3. Step 3: Cross multiply
    412,912.13x = 611,692.88 × 611,692.88
  4. Step 4: Simplify right side
    412,912.13x = 374,168,173,325.77
  5. Step 5: Solve for x
    x = 374,168,173,325.77/412,912.13
  6. Step 6: Final answer
    x = 906,169.01

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.