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Finding the Third Proportional to 281,338.31 and 614,339.44

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Solution

The third proportional to 281,338.31 and 614,339.44 is: 1,341,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,338.31 : 614,339.44 = 614,339.44 : x
  2. Step 2: Convert to fraction form
    281,338.31/614,339.44 = 614,339.44/x
  3. Step 3: Cross multiply
    281,338.31x = 614,339.44 × 614,339.44
  4. Step 4: Simplify right side
    281,338.31x = 377,412,944,467.82
  5. Step 5: Solve for x
    x = 377,412,944,467.82/281,338.31
  6. Step 6: Final answer
    x = 1,341,491.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.