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Finding the Third Proportional to 361,680 and 773,184

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Solution

The third proportional to 361,680 and 773,184 is: 1,652,879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,680 : 773,184 = 773,184 : x
  2. Step 2: Convert to fraction form
    361,680/773,184 = 773,184/x
  3. Step 3: Cross multiply
    361,680x = 773,184 × 773,184
  4. Step 4: Simplify right side
    361,680x = 597,813,497,856
  5. Step 5: Solve for x
    x = 597,813,497,856/361,680
  6. Step 6: Final answer
    x = 1,652,879.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.