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Finding the Third Proportional to 729,234.75 and 1,103,912.25

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Solution

The third proportional to 729,234.75 and 1,103,912.25 is: 1,671,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,234.75 : 1,103,912.25 = 1,103,912.25 : x
  2. Step 2: Convert to fraction form
    729,234.75/1,103,912.25 = 1,103,912.25/x
  3. Step 3: Cross multiply
    729,234.75x = 1,103,912.25 × 1,103,912.25
  4. Step 4: Simplify right side
    729,234.75x = 1,218,622,255,700.06
  5. Step 5: Solve for x
    x = 1,218,622,255,700.06/729,234.75
  6. Step 6: Final answer
    x = 1,671,097.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.