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Finding the Third Proportional to 215,855 and 471,015

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Solution

The third proportional to 215,855 and 471,015 is: 1,027,797.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,855 : 471,015 = 471,015 : x
  2. Step 2: Convert to fraction form
    215,855/471,015 = 471,015/x
  3. Step 3: Cross multiply
    215,855x = 471,015 × 471,015
  4. Step 4: Simplify right side
    215,855x = 221,855,130,225
  5. Step 5: Solve for x
    x = 221,855,130,225/215,855
  6. Step 6: Final answer
    x = 1,027,797.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.