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Finding the Third Proportional to 405,756 and 867,793.50

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Solution

The third proportional to 405,756 and 867,793.50 is: 1,855,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,756 : 867,793.50 = 867,793.50 : x
  2. Step 2: Convert to fraction form
    405,756/867,793.50 = 867,793.50/x
  3. Step 3: Cross multiply
    405,756x = 867,793.50 × 867,793.50
  4. Step 4: Simplify right side
    405,756x = 753,065,558,642.25
  5. Step 5: Solve for x
    x = 753,065,558,642.25/405,756
  6. Step 6: Final answer
    x = 1,855,956.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.