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Finding the Third Proportional to 252,550 and 544,460

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Solution

The third proportional to 252,550 and 544,460 is: 1,173,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,550 : 544,460 = 544,460 : x
  2. Step 2: Convert to fraction form
    252,550/544,460 = 544,460/x
  3. Step 3: Cross multiply
    252,550x = 544,460 × 544,460
  4. Step 4: Simplify right side
    252,550x = 296,436,691,600
  5. Step 5: Solve for x
    x = 296,436,691,600/252,550
  6. Step 6: Final answer
    x = 1,173,774.27

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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.