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Finding the Third Proportional to 241,736 and 523,648

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Solution

The third proportional to 241,736 and 523,648 is: 1,134,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,736 : 523,648 = 523,648 : x
  2. Step 2: Convert to fraction form
    241,736/523,648 = 523,648/x
  3. Step 3: Cross multiply
    241,736x = 523,648 × 523,648
  4. Step 4: Simplify right side
    241,736x = 274,207,227,904
  5. Step 5: Solve for x
    x = 274,207,227,904/241,736
  6. Step 6: Final answer
    x = 1,134,325.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.