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Finding the Third Proportional to 405,141.75 and 878,627.25

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Solution

The third proportional to 405,141.75 and 878,627.25 is: 1,905,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,141.75 : 878,627.25 = 878,627.25 : x
  2. Step 2: Convert to fraction form
    405,141.75/878,627.25 = 878,627.25/x
  3. Step 3: Cross multiply
    405,141.75x = 878,627.25 × 878,627.25
  4. Step 4: Simplify right side
    405,141.75x = 771,985,844,442.56
  5. Step 5: Solve for x
    x = 771,985,844,442.56/405,141.75
  6. Step 6: Final answer
    x = 1,905,470.97

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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.