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Finding the Third Proportional to 735,331.50 and 1,040,546.25

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Solution

The third proportional to 735,331.50 and 1,040,546.25 is: 1,472,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,331.50 : 1,040,546.25 = 1,040,546.25 : x
  2. Step 2: Convert to fraction form
    735,331.50/1,040,546.25 = 1,040,546.25/x
  3. Step 3: Cross multiply
    735,331.50x = 1,040,546.25 × 1,040,546.25
  4. Step 4: Simplify right side
    735,331.50x = 1,082,736,498,389.06
  5. Step 5: Solve for x
    x = 1,082,736,498,389.06/735,331.50
  6. Step 6: Final answer
    x = 1,472,446.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.