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Finding the Third Proportional to 356,017.25 and 534,096.75

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Solution

The third proportional to 356,017.25 and 534,096.75 is: 801,251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,017.25 : 534,096.75 = 534,096.75 : x
  2. Step 2: Convert to fraction form
    356,017.25/534,096.75 = 534,096.75/x
  3. Step 3: Cross multiply
    356,017.25x = 534,096.75 × 534,096.75
  4. Step 4: Simplify right side
    356,017.25x = 285,259,338,360.56
  5. Step 5: Solve for x
    x = 285,259,338,360.56/356,017.25
  6. Step 6: Final answer
    x = 801,251.45

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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.