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Finding the Third Proportional to 400,650 and 816,141

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Solution

The third proportional to 400,650 and 816,141 is: 1,662,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,650 : 816,141 = 816,141 : x
  2. Step 2: Convert to fraction form
    400,650/816,141 = 816,141/x
  3. Step 3: Cross multiply
    400,650x = 816,141 × 816,141
  4. Step 4: Simplify right side
    400,650x = 666,086,131,881
  5. Step 5: Solve for x
    x = 666,086,131,881/400,650
  6. Step 6: Final answer
    x = 1,662,513.74

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Why These Related Problems?

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