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Finding the Third Proportional to 218,602 and 471,652

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Solution

The third proportional to 218,602 and 471,652 is: 1,017,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,602 : 471,652 = 471,652 : x
  2. Step 2: Convert to fraction form
    218,602/471,652 = 471,652/x
  3. Step 3: Cross multiply
    218,602x = 471,652 × 471,652
  4. Step 4: Simplify right side
    218,602x = 222,455,609,104
  5. Step 5: Solve for x
    x = 222,455,609,104/218,602
  6. Step 6: Final answer
    x = 1,017,628.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.