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Finding the Third Proportional to 254,863 and 554,030

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Solution

The third proportional to 254,863 and 554,030 is: 1,204,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,863 : 554,030 = 554,030 : x
  2. Step 2: Convert to fraction form
    254,863/554,030 = 554,030/x
  3. Step 3: Cross multiply
    254,863x = 554,030 × 554,030
  4. Step 4: Simplify right side
    254,863x = 306,949,240,900
  5. Step 5: Solve for x
    x = 306,949,240,900/254,863
  6. Step 6: Final answer
    x = 1,204,369.57

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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.