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Finding the Third Proportional to 405,636.75 and 865,566.75

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Solution

The third proportional to 405,636.75 and 865,566.75 is: 1,846,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,636.75 : 865,566.75 = 865,566.75 : x
  2. Step 2: Convert to fraction form
    405,636.75/865,566.75 = 865,566.75/x
  3. Step 3: Cross multiply
    405,636.75x = 865,566.75 × 865,566.75
  4. Step 4: Simplify right side
    405,636.75x = 749,205,798,705.56
  5. Step 5: Solve for x
    x = 749,205,798,705.56/405,636.75
  6. Step 6: Final answer
    x = 1,846,986.99

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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.