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Finding the Third Proportional to 215,827 and 474,482

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Solution

The third proportional to 215,827 and 474,482 is: 1,043,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,827 : 474,482 = 474,482 : x
  2. Step 2: Convert to fraction form
    215,827/474,482 = 474,482/x
  3. Step 3: Cross multiply
    215,827x = 474,482 × 474,482
  4. Step 4: Simplify right side
    215,827x = 225,133,168,324
  5. Step 5: Solve for x
    x = 225,133,168,324/215,827
  6. Step 6: Final answer
    x = 1,043,118.65

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