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Finding the Third Proportional to 356,016.75 and 534,096

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Solution

The third proportional to 356,016.75 and 534,096 is: 801,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,016.75 : 534,096 = 534,096 : x
  2. Step 2: Convert to fraction form
    356,016.75/534,096 = 534,096/x
  3. Step 3: Cross multiply
    356,016.75x = 534,096 × 534,096
  4. Step 4: Simplify right side
    356,016.75x = 285,258,537,216
  5. Step 5: Solve for x
    x = 285,258,537,216/356,016.75
  6. Step 6: Final answer
    x = 801,250.33

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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.