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Finding the Third Proportional to 219,494.81 and 471,733.88

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Solution

The third proportional to 219,494.81 and 471,733.88 is: 1,013,841.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,494.81 : 471,733.88 = 471,733.88 : x
  2. Step 2: Convert to fraction form
    219,494.81/471,733.88 = 471,733.88/x
  3. Step 3: Cross multiply
    219,494.81x = 471,733.88 × 471,733.88
  4. Step 4: Simplify right side
    219,494.81x = 222,532,848,822.52
  5. Step 5: Solve for x
    x = 222,532,848,822.52/219,494.81
  6. Step 6: Final answer
    x = 1,013,841.04

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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.