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Finding the Third Proportional to 219,451.50 and 471,638.25

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Solution

The third proportional to 219,451.50 and 471,638.25 is: 1,013,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,451.50 : 471,638.25 = 471,638.25 : x
  2. Step 2: Convert to fraction form
    219,451.50/471,638.25 = 471,638.25/x
  3. Step 3: Cross multiply
    219,451.50x = 471,638.25 × 471,638.25
  4. Step 4: Simplify right side
    219,451.50x = 222,442,638,863.06
  5. Step 5: Solve for x
    x = 222,442,638,863.06/219,451.50
  6. Step 6: Final answer
    x = 1,013,630.07

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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.