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Finding the Third Proportional to 250,288 and 544,640

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Solution

The third proportional to 250,288 and 544,640 is: 1,185,165.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,288 : 544,640 = 544,640 : x
  2. Step 2: Convert to fraction form
    250,288/544,640 = 544,640/x
  3. Step 3: Cross multiply
    250,288x = 544,640 × 544,640
  4. Step 4: Simplify right side
    250,288x = 296,632,729,600
  5. Step 5: Solve for x
    x = 296,632,729,600/250,288
  6. Step 6: Final answer
    x = 1,185,165.61

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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.