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Finding the Third Proportional to 511,132 and 773,862

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Solution

The third proportional to 511,132 and 773,862 is: 1,171,639.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,132 : 773,862 = 773,862 : x
  2. Step 2: Convert to fraction form
    511,132/773,862 = 773,862/x
  3. Step 3: Cross multiply
    511,132x = 773,862 × 773,862
  4. Step 4: Simplify right side
    511,132x = 598,862,395,044
  5. Step 5: Solve for x
    x = 598,862,395,044/511,132
  6. Step 6: Final answer
    x = 1,171,639.41

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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.