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Finding the Third Proportional to 252,724 and 544,616

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Solution

The third proportional to 252,724 and 544,616 is: 1,173,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,724 : 544,616 = 544,616 : x
  2. Step 2: Convert to fraction form
    252,724/544,616 = 544,616/x
  3. Step 3: Cross multiply
    252,724x = 544,616 × 544,616
  4. Step 4: Simplify right side
    252,724x = 296,606,587,456
  5. Step 5: Solve for x
    x = 296,606,587,456/252,724
  6. Step 6: Final answer
    x = 1,173,638.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.