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Finding the Third Proportional to 409,200.75 and 955,865.25

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Solution

The third proportional to 409,200.75 and 955,865.25 is: 2,232,836.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,200.75 : 955,865.25 = 955,865.25 : x
  2. Step 2: Convert to fraction form
    409,200.75/955,865.25 = 955,865.25/x
  3. Step 3: Cross multiply
    409,200.75x = 955,865.25 × 955,865.25
  4. Step 4: Simplify right side
    409,200.75x = 913,678,376,157.56
  5. Step 5: Solve for x
    x = 913,678,376,157.56/409,200.75
  6. Step 6: Final answer
    x = 2,232,836.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.