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Finding the Third Proportional to 352,955.25 and 724,686.75

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Solution

The third proportional to 352,955.25 and 724,686.75 is: 1,487,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,955.25 : 724,686.75 = 724,686.75 : x
  2. Step 2: Convert to fraction form
    352,955.25/724,686.75 = 724,686.75/x
  3. Step 3: Cross multiply
    352,955.25x = 724,686.75 × 724,686.75
  4. Step 4: Simplify right side
    352,955.25x = 525,170,885,625.56
  5. Step 5: Solve for x
    x = 525,170,885,625.56/352,955.25
  6. Step 6: Final answer
    x = 1,487,924.84

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.