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Finding the Third Proportional to 324,438.75 and 698,796

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Solution

The third proportional to 324,438.75 and 698,796 is: 1,505,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,438.75 : 698,796 = 698,796 : x
  2. Step 2: Convert to fraction form
    324,438.75/698,796 = 698,796/x
  3. Step 3: Cross multiply
    324,438.75x = 698,796 × 698,796
  4. Step 4: Simplify right side
    324,438.75x = 488,315,849,616
  5. Step 5: Solve for x
    x = 488,315,849,616/324,438.75
  6. Step 6: Final answer
    x = 1,505,109.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.