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Finding the Third Proportional to 380,116.13 and 826,372.13

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Solution

The third proportional to 380,116.13 and 826,372.13 is: 1,796,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,116.13 : 826,372.13 = 826,372.13 : x
  2. Step 2: Convert to fraction form
    380,116.13/826,372.13 = 826,372.13/x
  3. Step 3: Cross multiply
    380,116.13x = 826,372.13 × 826,372.13
  4. Step 4: Simplify right side
    380,116.13x = 682,890,888,977.02
  5. Step 5: Solve for x
    x = 682,890,888,977.02/380,116.13
  6. Step 6: Final answer
    x = 1,796,532.28

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Why These Related Problems?

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