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Finding the Third Proportional to 252,548 and 544,456

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Solution

The third proportional to 252,548 and 544,456 is: 1,173,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,548 : 544,456 = 544,456 : x
  2. Step 2: Convert to fraction form
    252,548/544,456 = 544,456/x
  3. Step 3: Cross multiply
    252,548x = 544,456 × 544,456
  4. Step 4: Simplify right side
    252,548x = 296,432,335,936
  5. Step 5: Solve for x
    x = 296,432,335,936/252,548
  6. Step 6: Final answer
    x = 1,173,766.32

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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.