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Finding the Third Proportional to 215,826.75 and 474,482.25

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Solution

The third proportional to 215,826.75 and 474,482.25 is: 1,043,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,826.75 : 474,482.25 = 474,482.25 : x
  2. Step 2: Convert to fraction form
    215,826.75/474,482.25 = 474,482.25/x
  3. Step 3: Cross multiply
    215,826.75x = 474,482.25 × 474,482.25
  4. Step 4: Simplify right side
    215,826.75x = 225,133,405,565.06
  5. Step 5: Solve for x
    x = 225,133,405,565.06/215,826.75
  6. Step 6: Final answer
    x = 1,043,120.95

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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.