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Finding the Third Proportional to 341,994.38 and 511,077.38

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Solution

The third proportional to 341,994.38 and 511,077.38 is: 763,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,994.38 : 511,077.38 = 511,077.38 : x
  2. Step 2: Convert to fraction form
    341,994.38/511,077.38 = 511,077.38/x
  3. Step 3: Cross multiply
    341,994.38x = 511,077.38 × 511,077.38
  4. Step 4: Simplify right side
    341,994.38x = 261,200,083,236.89
  5. Step 5: Solve for x
    x = 261,200,083,236.89/341,994.38
  6. Step 6: Final answer
    x = 763,755.50

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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.