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Finding the Third Proportional to 341,996.25 and 511,079.25

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Solution

The third proportional to 341,996.25 and 511,079.25 is: 763,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,996.25 : 511,079.25 = 511,079.25 : x
  2. Step 2: Convert to fraction form
    341,996.25/511,079.25 = 511,079.25/x
  3. Step 3: Cross multiply
    341,996.25x = 511,079.25 × 511,079.25
  4. Step 4: Simplify right side
    341,996.25x = 261,201,999,780.56
  5. Step 5: Solve for x
    x = 261,201,999,780.56/341,996.25
  6. Step 6: Final answer
    x = 763,756.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.