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Finding the Third Proportional to 219,383.44 and 429,472.13

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Solution

The third proportional to 219,383.44 and 429,472.13 is: 840,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,383.44 : 429,472.13 = 429,472.13 : x
  2. Step 2: Convert to fraction form
    219,383.44/429,472.13 = 429,472.13/x
  3. Step 3: Cross multiply
    219,383.44x = 429,472.13 × 429,472.13
  4. Step 4: Simplify right side
    219,383.44x = 184,446,306,152.02
  5. Step 5: Solve for x
    x = 184,446,306,152.02/219,383.44
  6. Step 6: Final answer
    x = 840,748.55

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.