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Finding the Third Proportional to 425,190 and 659,311.50

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Solution

The third proportional to 425,190 and 659,311.50 is: 1,022,346.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,190 : 659,311.50 = 659,311.50 : x
  2. Step 2: Convert to fraction form
    425,190/659,311.50 = 659,311.50/x
  3. Step 3: Cross multiply
    425,190x = 659,311.50 × 659,311.50
  4. Step 4: Simplify right side
    425,190x = 434,691,654,032.25
  5. Step 5: Solve for x
    x = 434,691,654,032.25/425,190
  6. Step 6: Final answer
    x = 1,022,346.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.