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Finding the Third Proportional to 362,324.81 and 787,082.06

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Solution

The third proportional to 362,324.81 and 787,082.06 is: 1,709,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,324.81 : 787,082.06 = 787,082.06 : x
  2. Step 2: Convert to fraction form
    362,324.81/787,082.06 = 787,082.06/x
  3. Step 3: Cross multiply
    362,324.81x = 787,082.06 × 787,082.06
  4. Step 4: Simplify right side
    362,324.81x = 619,498,173,109.25
  5. Step 5: Solve for x
    x = 619,498,173,109.25/362,324.81
  6. Step 6: Final answer
    x = 1,709,786.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.