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Finding the Third Proportional to 241,384 and 365,964

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Solution

The third proportional to 241,384 and 365,964 is: 554,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,384 : 365,964 = 365,964 : x
  2. Step 2: Convert to fraction form
    241,384/365,964 = 365,964/x
  3. Step 3: Cross multiply
    241,384x = 365,964 × 365,964
  4. Step 4: Simplify right side
    241,384x = 133,929,649,296
  5. Step 5: Solve for x
    x = 133,929,649,296/241,384
  6. Step 6: Final answer
    x = 554,840.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.