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Finding the Third Proportional to 252,494 and 544,348

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Solution

The third proportional to 252,494 and 544,348 is: 1,173,551.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,494 : 544,348 = 544,348 : x
  2. Step 2: Convert to fraction form
    252,494/544,348 = 544,348/x
  3. Step 3: Cross multiply
    252,494x = 544,348 × 544,348
  4. Step 4: Simplify right side
    252,494x = 296,314,745,104
  5. Step 5: Solve for x
    x = 296,314,745,104/252,494
  6. Step 6: Final answer
    x = 1,173,551.63

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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.