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Finding the Third Proportional to 241,518 and 529,692

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Solution

The third proportional to 241,518 and 529,692 is: 1,161,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,518 : 529,692 = 529,692 : x
  2. Step 2: Convert to fraction form
    241,518/529,692 = 529,692/x
  3. Step 3: Cross multiply
    241,518x = 529,692 × 529,692
  4. Step 4: Simplify right side
    241,518x = 280,573,614,864
  5. Step 5: Solve for x
    x = 280,573,614,864/241,518
  6. Step 6: Final answer
    x = 1,161,708.92

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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.