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Finding the Third Proportional to 338,296 and 727,622

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Solution

The third proportional to 338,296 and 727,622 is: 1,565,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,296 : 727,622 = 727,622 : x
  2. Step 2: Convert to fraction form
    338,296/727,622 = 727,622/x
  3. Step 3: Cross multiply
    338,296x = 727,622 × 727,622
  4. Step 4: Simplify right side
    338,296x = 529,433,774,884
  5. Step 5: Solve for x
    x = 529,433,774,884/338,296
  6. Step 6: Final answer
    x = 1,565,001.58

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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.