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Finding the Third Proportional to 261,850 and 574,676

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Solution

The third proportional to 261,850 and 574,676 is: 1,261,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,850 : 574,676 = 574,676 : x
  2. Step 2: Convert to fraction form
    261,850/574,676 = 574,676/x
  3. Step 3: Cross multiply
    261,850x = 574,676 × 574,676
  4. Step 4: Simplify right side
    261,850x = 330,252,504,976
  5. Step 5: Solve for x
    x = 330,252,504,976/261,850
  6. Step 6: Final answer
    x = 1,261,227.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.