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Finding the Third Proportional to 262,138.25 and 573,339.25

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Solution

The third proportional to 262,138.25 and 573,339.25 is: 1,253,986.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,138.25 : 573,339.25 = 573,339.25 : x
  2. Step 2: Convert to fraction form
    262,138.25/573,339.25 = 573,339.25/x
  3. Step 3: Cross multiply
    262,138.25x = 573,339.25 × 573,339.25
  4. Step 4: Simplify right side
    262,138.25x = 328,717,895,590.56
  5. Step 5: Solve for x
    x = 328,717,895,590.56/262,138.25
  6. Step 6: Final answer
    x = 1,253,986.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.