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Finding the Third Proportional to 400,864.50 and 834,898.50

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Solution

The third proportional to 400,864.50 and 834,898.50 is: 1,738,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,864.50 : 834,898.50 = 834,898.50 : x
  2. Step 2: Convert to fraction form
    400,864.50/834,898.50 = 834,898.50/x
  3. Step 3: Cross multiply
    400,864.50x = 834,898.50 × 834,898.50
  4. Step 4: Simplify right side
    400,864.50x = 697,055,505,302.25
  5. Step 5: Solve for x
    x = 697,055,505,302.25/400,864.50
  6. Step 6: Final answer
    x = 1,738,880.61

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.