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Finding the Third Proportional to 476,193 and 719,149.50

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Solution

The third proportional to 476,193 and 719,149.50 is: 1,086,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,193 : 719,149.50 = 719,149.50 : x
  2. Step 2: Convert to fraction form
    476,193/719,149.50 = 719,149.50/x
  3. Step 3: Cross multiply
    476,193x = 719,149.50 × 719,149.50
  4. Step 4: Simplify right side
    476,193x = 517,176,003,350.25
  5. Step 5: Solve for x
    x = 517,176,003,350.25/476,193
  6. Step 6: Final answer
    x = 1,086,063.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.