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Finding the Third Proportional to 322,196 and 727,950

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Solution

The third proportional to 322,196 and 727,950 is: 1,644,685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,196 : 727,950 = 727,950 : x
  2. Step 2: Convert to fraction form
    322,196/727,950 = 727,950/x
  3. Step 3: Cross multiply
    322,196x = 727,950 × 727,950
  4. Step 4: Simplify right side
    322,196x = 529,911,202,500
  5. Step 5: Solve for x
    x = 529,911,202,500/322,196
  6. Step 6: Final answer
    x = 1,644,685.85

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.