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Finding the Third Proportional to 729,257.50 and 1,103,947

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Solution

The third proportional to 729,257.50 and 1,103,947 is: 1,671,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,257.50 : 1,103,947 = 1,103,947 : x
  2. Step 2: Convert to fraction form
    729,257.50/1,103,947 = 1,103,947/x
  3. Step 3: Cross multiply
    729,257.50x = 1,103,947 × 1,103,947
  4. Step 4: Simplify right side
    729,257.50x = 1,218,698,978,809
  5. Step 5: Solve for x
    x = 1,218,698,978,809/729,257.50
  6. Step 6: Final answer
    x = 1,671,150.42

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