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Finding the Third Proportional to 327,524.25 and 707,637.75

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Solution

The third proportional to 327,524.25 and 707,637.75 is: 1,528,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,524.25 : 707,637.75 = 707,637.75 : x
  2. Step 2: Convert to fraction form
    327,524.25/707,637.75 = 707,637.75/x
  3. Step 3: Cross multiply
    327,524.25x = 707,637.75 × 707,637.75
  4. Step 4: Simplify right side
    327,524.25x = 500,751,185,225.06
  5. Step 5: Solve for x
    x = 500,751,185,225.06/327,524.25
  6. Step 6: Final answer
    x = 1,528,898.04

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.