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Finding the Third Proportional to 481,384.13 and 648,361.13

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Solution

The third proportional to 481,384.13 and 648,361.13 is: 873,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,384.13 : 648,361.13 = 648,361.13 : x
  2. Step 2: Convert to fraction form
    481,384.13/648,361.13 = 648,361.13/x
  3. Step 3: Cross multiply
    481,384.13x = 648,361.13 × 648,361.13
  4. Step 4: Simplify right side
    481,384.13x = 420,372,148,411.27
  5. Step 5: Solve for x
    x = 420,372,148,411.27/481,384.13
  6. Step 6: Final answer
    x = 873,257.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.