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Finding the Third Proportional to 252,042 and 545,456

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Solution

The third proportional to 252,042 and 545,456 is: 1,180,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,042 : 545,456 = 545,456 : x
  2. Step 2: Convert to fraction form
    252,042/545,456 = 545,456/x
  3. Step 3: Cross multiply
    252,042x = 545,456 × 545,456
  4. Step 4: Simplify right side
    252,042x = 297,522,247,936
  5. Step 5: Solve for x
    x = 297,522,247,936/252,042
  6. Step 6: Final answer
    x = 1,180,447.10

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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.