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Finding the Third Proportional to 266,400 and 571,968

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Solution

The third proportional to 266,400 and 571,968 is: 1,228,030.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,400 : 571,968 = 571,968 : x
  2. Step 2: Convert to fraction form
    266,400/571,968 = 571,968/x
  3. Step 3: Cross multiply
    266,400x = 571,968 × 571,968
  4. Step 4: Simplify right side
    266,400x = 327,147,393,024
  5. Step 5: Solve for x
    x = 327,147,393,024/266,400
  6. Step 6: Final answer
    x = 1,228,030.75

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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.