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Finding the Third Proportional to 400,801.50 and 816,385.50

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Solution

The third proportional to 400,801.50 and 816,385.50 is: 1,662,881.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,801.50 : 816,385.50 = 816,385.50 : x
  2. Step 2: Convert to fraction form
    400,801.50/816,385.50 = 816,385.50/x
  3. Step 3: Cross multiply
    400,801.50x = 816,385.50 × 816,385.50
  4. Step 4: Simplify right side
    400,801.50x = 666,485,284,610.25
  5. Step 5: Solve for x
    x = 666,485,284,610.25/400,801.50
  6. Step 6: Final answer
    x = 1,662,881.21

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.