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Finding the Third Proportional to 404,863.31 and 859,541.63

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Solution

The third proportional to 404,863.31 and 859,541.63 is: 1,824,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,863.31 : 859,541.63 = 859,541.63 : x
  2. Step 2: Convert to fraction form
    404,863.31/859,541.63 = 859,541.63/x
  3. Step 3: Cross multiply
    404,863.31x = 859,541.63 × 859,541.63
  4. Step 4: Simplify right side
    404,863.31x = 738,811,805,107.64
  5. Step 5: Solve for x
    x = 738,811,805,107.64/404,863.31
  6. Step 6: Final answer
    x = 1,824,842.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.