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Finding the Third Proportional to 250,257 and 544,578

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Solution

The third proportional to 250,257 and 544,578 is: 1,185,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,257 : 544,578 = 544,578 : x
  2. Step 2: Convert to fraction form
    250,257/544,578 = 544,578/x
  3. Step 3: Cross multiply
    250,257x = 544,578 × 544,578
  4. Step 4: Simplify right side
    250,257x = 296,565,198,084
  5. Step 5: Solve for x
    x = 296,565,198,084/250,257
  6. Step 6: Final answer
    x = 1,185,042.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.