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Finding the Third Proportional to 215,833.50 and 474,495.50

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Solution

The third proportional to 215,833.50 and 474,495.50 is: 1,043,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,833.50 : 474,495.50 = 474,495.50 : x
  2. Step 2: Convert to fraction form
    215,833.50/474,495.50 = 474,495.50/x
  3. Step 3: Cross multiply
    215,833.50x = 474,495.50 × 474,495.50
  4. Step 4: Simplify right side
    215,833.50x = 225,145,979,520.25
  5. Step 5: Solve for x
    x = 225,145,979,520.25/215,833.50
  6. Step 6: Final answer
    x = 1,043,146.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.