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Finding the Third Proportional to 232,830 and 447,678

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Solution

The third proportional to 232,830 and 447,678 is: 860,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,830 : 447,678 = 447,678 : x
  2. Step 2: Convert to fraction form
    232,830/447,678 = 447,678/x
  3. Step 3: Cross multiply
    232,830x = 447,678 × 447,678
  4. Step 4: Simplify right side
    232,830x = 200,415,591,684
  5. Step 5: Solve for x
    x = 200,415,591,684/232,830
  6. Step 6: Final answer
    x = 860,780.79

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.