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Finding the Third Proportional to 463,209.75 and 976,227.75

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Solution

The third proportional to 463,209.75 and 976,227.75 is: 2,057,427.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,209.75 : 976,227.75 = 976,227.75 : x
  2. Step 2: Convert to fraction form
    463,209.75/976,227.75 = 976,227.75/x
  3. Step 3: Cross multiply
    463,209.75x = 976,227.75 × 976,227.75
  4. Step 4: Simplify right side
    463,209.75x = 953,020,619,870.06
  5. Step 5: Solve for x
    x = 953,020,619,870.06/463,209.75
  6. Step 6: Final answer
    x = 2,057,427.81

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.