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Finding the Third Proportional to 405,634.75 and 865,562.25

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Solution

The third proportional to 405,634.75 and 865,562.25 is: 1,846,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,634.75 : 865,562.25 = 865,562.25 : x
  2. Step 2: Convert to fraction form
    405,634.75/865,562.25 = 865,562.25/x
  3. Step 3: Cross multiply
    405,634.75x = 865,562.25 × 865,562.25
  4. Step 4: Simplify right side
    405,634.75x = 749,198,008,625.06
  5. Step 5: Solve for x
    x = 749,198,008,625.06/405,634.75
  6. Step 6: Final answer
    x = 1,846,976.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.