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Finding the Third Proportional to 275,646 and 600,516

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Solution

The third proportional to 275,646 and 600,516 is: 1,308,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,646 : 600,516 = 600,516 : x
  2. Step 2: Convert to fraction form
    275,646/600,516 = 600,516/x
  3. Step 3: Cross multiply
    275,646x = 600,516 × 600,516
  4. Step 4: Simplify right side
    275,646x = 360,619,466,256
  5. Step 5: Solve for x
    x = 360,619,466,256/275,646
  6. Step 6: Final answer
    x = 1,308,270.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.