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Finding the Third Proportional to 266,256 and 573,108

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Solution

The third proportional to 266,256 and 573,108 is: 1,233,597.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,256 : 573,108 = 573,108 : x
  2. Step 2: Convert to fraction form
    266,256/573,108 = 573,108/x
  3. Step 3: Cross multiply
    266,256x = 573,108 × 573,108
  4. Step 4: Simplify right side
    266,256x = 328,452,779,664
  5. Step 5: Solve for x
    x = 328,452,779,664/266,256
  6. Step 6: Final answer
    x = 1,233,597.66

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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.