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Finding the Third Proportional to 363,856 and 561,336

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Solution

The third proportional to 363,856 and 561,336 is: 865,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,856 : 561,336 = 561,336 : x
  2. Step 2: Convert to fraction form
    363,856/561,336 = 561,336/x
  3. Step 3: Cross multiply
    363,856x = 561,336 × 561,336
  4. Step 4: Simplify right side
    363,856x = 315,098,104,896
  5. Step 5: Solve for x
    x = 315,098,104,896/363,856
  6. Step 6: Final answer
    x = 865,996.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.