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Finding the Third Proportional to 275,313 and 565,451

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Solution

The third proportional to 275,313 and 565,451 is: 1,161,350.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,313 : 565,451 = 565,451 : x
  2. Step 2: Convert to fraction form
    275,313/565,451 = 565,451/x
  3. Step 3: Cross multiply
    275,313x = 565,451 × 565,451
  4. Step 4: Simplify right side
    275,313x = 319,734,833,401
  5. Step 5: Solve for x
    x = 319,734,833,401/275,313
  6. Step 6: Final answer
    x = 1,161,350.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.