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Finding the Third Proportional to 275,320 and 565,466

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Solution

The third proportional to 275,320 and 565,466 is: 1,161,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,320 : 565,466 = 565,466 : x
  2. Step 2: Convert to fraction form
    275,320/565,466 = 565,466/x
  3. Step 3: Cross multiply
    275,320x = 565,466 × 565,466
  4. Step 4: Simplify right side
    275,320x = 319,751,797,156
  5. Step 5: Solve for x
    x = 319,751,797,156/275,320
  6. Step 6: Final answer
    x = 1,161,382.38

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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.