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Finding the Third Proportional to 241,520 and 529,696

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Solution

The third proportional to 241,520 and 529,696 is: 1,161,716.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,520 : 529,696 = 529,696 : x
  2. Step 2: Convert to fraction form
    241,520/529,696 = 529,696/x
  3. Step 3: Cross multiply
    241,520x = 529,696 × 529,696
  4. Step 4: Simplify right side
    241,520x = 280,577,852,416
  5. Step 5: Solve for x
    x = 280,577,852,416/241,520
  6. Step 6: Final answer
    x = 1,161,716.85

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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.