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Finding the Third Proportional to 511,493 and 744,751

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Solution

The third proportional to 511,493 and 744,751 is: 1,084,382.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,493 : 744,751 = 744,751 : x
  2. Step 2: Convert to fraction form
    511,493/744,751 = 744,751/x
  3. Step 3: Cross multiply
    511,493x = 744,751 × 744,751
  4. Step 4: Simplify right side
    511,493x = 554,654,052,001
  5. Step 5: Solve for x
    x = 554,654,052,001/511,493
  6. Step 6: Final answer
    x = 1,084,382.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.