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Finding the Third Proportional to 327,921.75 and 716,595.75

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Solution

The third proportional to 327,921.75 and 716,595.75 is: 1,565,951.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,921.75 : 716,595.75 = 716,595.75 : x
  2. Step 2: Convert to fraction form
    327,921.75/716,595.75 = 716,595.75/x
  3. Step 3: Cross multiply
    327,921.75x = 716,595.75 × 716,595.75
  4. Step 4: Simplify right side
    327,921.75x = 513,509,468,918.06
  5. Step 5: Solve for x
    x = 513,509,468,918.06/327,921.75
  6. Step 6: Final answer
    x = 1,565,951.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.