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Finding the Third Proportional to 413,689.25 and 892,732.25

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Solution

The third proportional to 413,689.25 and 892,732.25 is: 1,926,496.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,689.25 : 892,732.25 = 892,732.25 : x
  2. Step 2: Convert to fraction form
    413,689.25/892,732.25 = 892,732.25/x
  3. Step 3: Cross multiply
    413,689.25x = 892,732.25 × 892,732.25
  4. Step 4: Simplify right side
    413,689.25x = 796,970,870,190.06
  5. Step 5: Solve for x
    x = 796,970,870,190.06/413,689.25
  6. Step 6: Final answer
    x = 1,926,496.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.