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Finding the Third Proportional to 216,054 and 471,096

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Solution

The third proportional to 216,054 and 471,096 is: 1,027,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,054 : 471,096 = 471,096 : x
  2. Step 2: Convert to fraction form
    216,054/471,096 = 471,096/x
  3. Step 3: Cross multiply
    216,054x = 471,096 × 471,096
  4. Step 4: Simplify right side
    216,054x = 221,931,441,216
  5. Step 5: Solve for x
    x = 221,931,441,216/216,054
  6. Step 6: Final answer
    x = 1,027,203.58

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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.