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Finding the Third Proportional to 463,205.25 and 976,218.75

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Solution

The third proportional to 463,205.25 and 976,218.75 is: 2,057,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,205.25 : 976,218.75 = 976,218.75 : x
  2. Step 2: Convert to fraction form
    463,205.25/976,218.75 = 976,218.75/x
  3. Step 3: Cross multiply
    463,205.25x = 976,218.75 × 976,218.75
  4. Step 4: Simplify right side
    463,205.25x = 953,003,047,851.56
  5. Step 5: Solve for x
    x = 953,003,047,851.56/463,205.25
  6. Step 6: Final answer
    x = 2,057,409.86

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Why These Related Problems?

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