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Finding the Third Proportional to 511,398 and 767,097

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Solution

The third proportional to 511,398 and 767,097 is: 1,150,645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,398 : 767,097 = 767,097 : x
  2. Step 2: Convert to fraction form
    511,398/767,097 = 767,097/x
  3. Step 3: Cross multiply
    511,398x = 767,097 × 767,097
  4. Step 4: Simplify right side
    511,398x = 588,437,807,409
  5. Step 5: Solve for x
    x = 588,437,807,409/511,398
  6. Step 6: Final answer
    x = 1,150,645.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.