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Finding the Third Proportional to 324,468 and 698,835

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Solution

The third proportional to 324,468 and 698,835 is: 1,505,141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,468 : 698,835 = 698,835 : x
  2. Step 2: Convert to fraction form
    324,468/698,835 = 698,835/x
  3. Step 3: Cross multiply
    324,468x = 698,835 × 698,835
  4. Step 4: Simplify right side
    324,468x = 488,370,357,225
  5. Step 5: Solve for x
    x = 488,370,357,225/324,468
  6. Step 6: Final answer
    x = 1,505,141.82

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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.