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Finding the Third Proportional to 275,366 and 565,554

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Solution

The third proportional to 275,366 and 565,554 is: 1,161,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,366 : 565,554 = 565,554 : x
  2. Step 2: Convert to fraction form
    275,366/565,554 = 565,554/x
  3. Step 3: Cross multiply
    275,366x = 565,554 × 565,554
  4. Step 4: Simplify right side
    275,366x = 319,851,326,916
  5. Step 5: Solve for x
    x = 319,851,326,916/275,366
  6. Step 6: Final answer
    x = 1,161,549.82

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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.