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Finding the Third Proportional to 511,264 and 774,048

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Solution

The third proportional to 511,264 and 774,048 is: 1,171,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,264 : 774,048 = 774,048 : x
  2. Step 2: Convert to fraction form
    511,264/774,048 = 774,048/x
  3. Step 3: Cross multiply
    511,264x = 774,048 × 774,048
  4. Step 4: Simplify right side
    511,264x = 599,150,306,304
  5. Step 5: Solve for x
    x = 599,150,306,304/511,264
  6. Step 6: Final answer
    x = 1,171,900.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.