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Finding the Third Proportional to 380,239.13 and 825,472.50

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Solution

The third proportional to 380,239.13 and 825,472.50 is: 1,792,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,239.13 : 825,472.50 = 825,472.50 : x
  2. Step 2: Convert to fraction form
    380,239.13/825,472.50 = 825,472.50/x
  3. Step 3: Cross multiply
    380,239.13x = 825,472.50 × 825,472.50
  4. Step 4: Simplify right side
    380,239.13x = 681,404,848,256.25
  5. Step 5: Solve for x
    x = 681,404,848,256.25/380,239.13
  6. Step 6: Final answer
    x = 1,792,042.96

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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.