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Finding the Third Proportional to 266,022 and 391,257

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Solution

The third proportional to 266,022 and 391,257 is: 575,448.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,022 : 391,257 = 391,257 : x
  2. Step 2: Convert to fraction form
    266,022/391,257 = 391,257/x
  3. Step 3: Cross multiply
    266,022x = 391,257 × 391,257
  4. Step 4: Simplify right side
    266,022x = 153,082,040,049
  5. Step 5: Solve for x
    x = 153,082,040,049/266,022
  6. Step 6: Final answer
    x = 575,448.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.