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Finding the Third Proportional to 400,804 and 600,102

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Solution

The third proportional to 400,804 and 600,102 is: 898,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,804 : 600,102 = 600,102 : x
  2. Step 2: Convert to fraction form
    400,804/600,102 = 600,102/x
  3. Step 3: Cross multiply
    400,804x = 600,102 × 600,102
  4. Step 4: Simplify right side
    400,804x = 360,122,410,404
  5. Step 5: Solve for x
    x = 360,122,410,404/400,804
  6. Step 6: Final answer
    x = 898,500.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.