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Finding the Third Proportional to 241,322 and 520,044

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Solution

The third proportional to 241,322 and 520,044 is: 1,120,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,322 : 520,044 = 520,044 : x
  2. Step 2: Convert to fraction form
    241,322/520,044 = 520,044/x
  3. Step 3: Cross multiply
    241,322x = 520,044 × 520,044
  4. Step 4: Simplify right side
    241,322x = 270,445,761,936
  5. Step 5: Solve for x
    x = 270,445,761,936/241,322
  6. Step 6: Final answer
    x = 1,120,684.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.