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Finding the Third Proportional to 266,170 and 610,884

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Solution

The third proportional to 266,170 and 610,884 is: 1,402,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,170 : 610,884 = 610,884 : x
  2. Step 2: Convert to fraction form
    266,170/610,884 = 610,884/x
  3. Step 3: Cross multiply
    266,170x = 610,884 × 610,884
  4. Step 4: Simplify right side
    266,170x = 373,179,261,456
  5. Step 5: Solve for x
    x = 373,179,261,456/266,170
  6. Step 6: Final answer
    x = 1,402,033.52

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.