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Finding the Third Proportional to 622,891.69 and 890,728.31

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Solution

The third proportional to 622,891.69 and 890,728.31 is: 1,273,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,891.69 : 890,728.31 = 890,728.31 : x
  2. Step 2: Convert to fraction form
    622,891.69/890,728.31 = 890,728.31/x
  3. Step 3: Cross multiply
    622,891.69x = 890,728.31 × 890,728.31
  4. Step 4: Simplify right side
    622,891.69x = 793,396,926,689.10
  5. Step 5: Solve for x
    x = 793,396,926,689.10/622,891.69
  6. Step 6: Final answer
    x = 1,273,731.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.