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Finding the Third Proportional to 324,466 and 698,831

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Solution

The third proportional to 324,466 and 698,831 is: 1,505,133.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,466 : 698,831 = 698,831 : x
  2. Step 2: Convert to fraction form
    324,466/698,831 = 698,831/x
  3. Step 3: Cross multiply
    324,466x = 698,831 × 698,831
  4. Step 4: Simplify right side
    324,466x = 488,364,766,561
  5. Step 5: Solve for x
    x = 488,364,766,561/324,466
  6. Step 6: Final answer
    x = 1,505,133.87

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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.