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Finding the Third Proportional to 241,080 and 504,192

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Solution

The third proportional to 241,080 and 504,192 is: 1,054,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,080 : 504,192 = 504,192 : x
  2. Step 2: Convert to fraction form
    241,080/504,192 = 504,192/x
  3. Step 3: Cross multiply
    241,080x = 504,192 × 504,192
  4. Step 4: Simplify right side
    241,080x = 254,209,572,864
  5. Step 5: Solve for x
    x = 254,209,572,864/241,080
  6. Step 6: Final answer
    x = 1,054,461.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.