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Finding the Third Proportional to 338,596.31 and 705,216.94

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Solution

The third proportional to 338,596.31 and 705,216.94 is: 1,468,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,596.31 : 705,216.94 = 705,216.94 : x
  2. Step 2: Convert to fraction form
    338,596.31/705,216.94 = 705,216.94/x
  3. Step 3: Cross multiply
    338,596.31x = 705,216.94 × 705,216.94
  4. Step 4: Simplify right side
    338,596.31x = 497,330,928,936.88
  5. Step 5: Solve for x
    x = 497,330,928,936.88/338,596.31
  6. Step 6: Final answer
    x = 1,468,801.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.