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Finding the Third Proportional to 241,510 and 529,676

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Solution

The third proportional to 241,510 and 529,676 is: 1,161,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,510 : 529,676 = 529,676 : x
  2. Step 2: Convert to fraction form
    241,510/529,676 = 529,676/x
  3. Step 3: Cross multiply
    241,510x = 529,676 × 529,676
  4. Step 4: Simplify right side
    241,510x = 280,556,664,976
  5. Step 5: Solve for x
    x = 280,556,664,976/241,510
  6. Step 6: Final answer
    x = 1,161,677.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.