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Finding the Third Proportional to 380,031.75 and 825,774.75

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Solution

The third proportional to 380,031.75 and 825,774.75 is: 1,794,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,031.75 : 825,774.75 = 825,774.75 : x
  2. Step 2: Convert to fraction form
    380,031.75/825,774.75 = 825,774.75/x
  3. Step 3: Cross multiply
    380,031.75x = 825,774.75 × 825,774.75
  4. Step 4: Simplify right side
    380,031.75x = 681,903,937,737.56
  5. Step 5: Solve for x
    x = 681,903,937,737.56/380,031.75
  6. Step 6: Final answer
    x = 1,794,334.13

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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.