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Finding the Third Proportional to 254,872 and 554,048

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Solution

The third proportional to 254,872 and 554,048 is: 1,204,405.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,872 : 554,048 = 554,048 : x
  2. Step 2: Convert to fraction form
    254,872/554,048 = 554,048/x
  3. Step 3: Cross multiply
    254,872x = 554,048 × 554,048
  4. Step 4: Simplify right side
    254,872x = 306,969,186,304
  5. Step 5: Solve for x
    x = 306,969,186,304/254,872
  6. Step 6: Final answer
    x = 1,204,405.29

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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.