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Finding the Third Proportional to 174,633 and 383,558

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Solution

The third proportional to 174,633 and 383,558 is: 842,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,633 : 383,558 = 383,558 : x
  2. Step 2: Convert to fraction form
    174,633/383,558 = 383,558/x
  3. Step 3: Cross multiply
    174,633x = 383,558 × 383,558
  4. Step 4: Simplify right side
    174,633x = 147,116,739,364
  5. Step 5: Solve for x
    x = 147,116,739,364/174,633
  6. Step 6: Final answer
    x = 842,433.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.