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Finding the Third Proportional to 511,296 and 757,101

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Solution

The third proportional to 511,296 and 757,101 is: 1,121,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,296 : 757,101 = 757,101 : x
  2. Step 2: Convert to fraction form
    511,296/757,101 = 757,101/x
  3. Step 3: Cross multiply
    511,296x = 757,101 × 757,101
  4. Step 4: Simplify right side
    511,296x = 573,201,924,201
  5. Step 5: Solve for x
    x = 573,201,924,201/511,296
  6. Step 6: Final answer
    x = 1,121,076.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.