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Finding the Third Proportional to 323,176 and 705,104

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Solution

The third proportional to 323,176 and 705,104 is: 1,538,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,176 : 705,104 = 705,104 : x
  2. Step 2: Convert to fraction form
    323,176/705,104 = 705,104/x
  3. Step 3: Cross multiply
    323,176x = 705,104 × 705,104
  4. Step 4: Simplify right side
    323,176x = 497,171,650,816
  5. Step 5: Solve for x
    x = 497,171,650,816/323,176
  6. Step 6: Final answer
    x = 1,538,392.86

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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.