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Finding the Third Proportional to 405,756 and 593,610

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Solution

The third proportional to 405,756 and 593,610 is: 868,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,756 : 593,610 = 593,610 : x
  2. Step 2: Convert to fraction form
    405,756/593,610 = 593,610/x
  3. Step 3: Cross multiply
    405,756x = 593,610 × 593,610
  4. Step 4: Simplify right side
    405,756x = 352,372,832,100
  5. Step 5: Solve for x
    x = 352,372,832,100/405,756
  6. Step 6: Final answer
    x = 868,435.30

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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.