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Finding the Third Proportional to 266,073 and 571,512

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Solution

The third proportional to 266,073 and 571,512 is: 1,227,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,073 : 571,512 = 571,512 : x
  2. Step 2: Convert to fraction form
    266,073/571,512 = 571,512/x
  3. Step 3: Cross multiply
    266,073x = 571,512 × 571,512
  4. Step 4: Simplify right side
    266,073x = 326,625,966,144
  5. Step 5: Solve for x
    x = 326,625,966,144/266,073
  6. Step 6: Final answer
    x = 1,227,580.27

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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.