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Finding the Third Proportional to 252,454 and 544,274

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Solution

The third proportional to 252,454 and 544,274 is: 1,173,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,454 : 544,274 = 544,274 : x
  2. Step 2: Convert to fraction form
    252,454/544,274 = 544,274/x
  3. Step 3: Cross multiply
    252,454x = 544,274 × 544,274
  4. Step 4: Simplify right side
    252,454x = 296,234,187,076
  5. Step 5: Solve for x
    x = 296,234,187,076/252,454
  6. Step 6: Final answer
    x = 1,173,418.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.