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Finding the Third Proportional to 412,445.67 and 603,901.83

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Solution

The third proportional to 412,445.67 and 603,901.83 is: 884,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,445.67 : 603,901.83 = 603,901.83 : x
  2. Step 2: Convert to fraction form
    412,445.67/603,901.83 = 603,901.83/x
  3. Step 3: Cross multiply
    412,445.67x = 603,901.83 × 603,901.83
  4. Step 4: Simplify right side
    412,445.67x = 364,697,418,012.72
  5. Step 5: Solve for x
    x = 364,697,418,012.72/412,445.67
  6. Step 6: Final answer
    x = 884,231.41

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.