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Finding the Third Proportional to 380,073.94 and 826,302.94

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Solution

The third proportional to 380,073.94 and 826,302.94 is: 1,796,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,073.94 : 826,302.94 = 826,302.94 : x
  2. Step 2: Convert to fraction form
    380,073.94/826,302.94 = 826,302.94/x
  3. Step 3: Cross multiply
    380,073.94x = 826,302.94 × 826,302.94
  4. Step 4: Simplify right side
    380,073.94x = 682,776,544,521.13
  5. Step 5: Solve for x
    x = 682,776,544,521.13/380,073.94
  6. Step 6: Final answer
    x = 1,796,430.84

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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.