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Finding the Third Proportional to 263,123 and 567,757

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Solution

The third proportional to 263,123 and 567,757 is: 1,225,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,123 : 567,757 = 567,757 : x
  2. Step 2: Convert to fraction form
    263,123/567,757 = 567,757/x
  3. Step 3: Cross multiply
    263,123x = 567,757 × 567,757
  4. Step 4: Simplify right side
    263,123x = 322,348,011,049
  5. Step 5: Solve for x
    x = 322,348,011,049/263,123
  6. Step 6: Final answer
    x = 1,225,084.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.