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Finding the Third Proportional to 291,833.44 and 641,123.44

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Solution

The third proportional to 291,833.44 and 641,123.44 is: 1,408,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,833.44 : 641,123.44 = 641,123.44 : x
  2. Step 2: Convert to fraction form
    291,833.44/641,123.44 = 641,123.44/x
  3. Step 3: Cross multiply
    291,833.44x = 641,123.44 × 641,123.44
  4. Step 4: Simplify right side
    291,833.44x = 411,039,262,111.82
  5. Step 5: Solve for x
    x = 411,039,262,111.82/291,833.44
  6. Step 6: Final answer
    x = 1,408,472.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.