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Finding the Third Proportional to 241,380 and 382,764

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Solution

The third proportional to 241,380 and 382,764 is: 606,961.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,380 : 382,764 = 382,764 : x
  2. Step 2: Convert to fraction form
    241,380/382,764 = 382,764/x
  3. Step 3: Cross multiply
    241,380x = 382,764 × 382,764
  4. Step 4: Simplify right side
    241,380x = 146,508,279,696
  5. Step 5: Solve for x
    x = 146,508,279,696/241,380
  6. Step 6: Final answer
    x = 606,961.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.