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Finding the Third Proportional to 252,504 and 544,374

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Solution

The third proportional to 252,504 and 544,374 is: 1,173,617.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,504 : 544,374 = 544,374 : x
  2. Step 2: Convert to fraction form
    252,504/544,374 = 544,374/x
  3. Step 3: Cross multiply
    252,504x = 544,374 × 544,374
  4. Step 4: Simplify right side
    252,504x = 296,343,051,876
  5. Step 5: Solve for x
    x = 296,343,051,876/252,504
  6. Step 6: Final answer
    x = 1,173,617.26

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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.