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Finding the Third Proportional to 266,250 and 573,096

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Solution

The third proportional to 266,250 and 573,096 is: 1,233,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,250 : 573,096 = 573,096 : x
  2. Step 2: Convert to fraction form
    266,250/573,096 = 573,096/x
  3. Step 3: Cross multiply
    266,250x = 573,096 × 573,096
  4. Step 4: Simplify right side
    266,250x = 328,439,025,216
  5. Step 5: Solve for x
    x = 328,439,025,216/266,250
  6. Step 6: Final answer
    x = 1,233,573.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.