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Finding the Third Proportional to 263,238.19 and 568,506.94

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Solution

The third proportional to 263,238.19 and 568,506.94 is: 1,227,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,238.19 : 568,506.94 = 568,506.94 : x
  2. Step 2: Convert to fraction form
    263,238.19/568,506.94 = 568,506.94/x
  3. Step 3: Cross multiply
    263,238.19x = 568,506.94 × 568,506.94
  4. Step 4: Simplify right side
    263,238.19x = 323,200,137,985.63
  5. Step 5: Solve for x
    x = 323,200,137,985.63/263,238.19
  6. Step 6: Final answer
    x = 1,227,785.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.