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Finding the Third Proportional to 252,452 and 544,270

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Solution

The third proportional to 252,452 and 544,270 is: 1,173,410.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,452 : 544,270 = 544,270 : x
  2. Step 2: Convert to fraction form
    252,452/544,270 = 544,270/x
  3. Step 3: Cross multiply
    252,452x = 544,270 × 544,270
  4. Step 4: Simplify right side
    252,452x = 296,229,832,900
  5. Step 5: Solve for x
    x = 296,229,832,900/252,452
  6. Step 6: Final answer
    x = 1,173,410.52

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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.