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Finding the Third Proportional to 252,812 and 540,616

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Solution

The third proportional to 252,812 and 540,616 is: 1,156,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,812 : 540,616 = 540,616 : x
  2. Step 2: Convert to fraction form
    252,812/540,616 = 540,616/x
  3. Step 3: Cross multiply
    252,812x = 540,616 × 540,616
  4. Step 4: Simplify right side
    252,812x = 292,265,659,456
  5. Step 5: Solve for x
    x = 292,265,659,456/252,812
  6. Step 6: Final answer
    x = 1,156,059.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.