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Finding the Third Proportional to 219,361.50 and 471,368.25

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Solution

The third proportional to 219,361.50 and 471,368.25 is: 1,012,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,361.50 : 471,368.25 = 471,368.25 : x
  2. Step 2: Convert to fraction form
    219,361.50/471,368.25 = 471,368.25/x
  3. Step 3: Cross multiply
    219,361.50x = 471,368.25 × 471,368.25
  4. Step 4: Simplify right side
    219,361.50x = 222,188,027,108.06
  5. Step 5: Solve for x
    x = 222,188,027,108.06/219,361.50
  6. Step 6: Final answer
    x = 1,012,885.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.