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Finding the Third Proportional to 258,763 and 565,802

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Solution

The third proportional to 258,763 and 565,802 is: 1,237,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,763 : 565,802 = 565,802 : x
  2. Step 2: Convert to fraction form
    258,763/565,802 = 565,802/x
  3. Step 3: Cross multiply
    258,763x = 565,802 × 565,802
  4. Step 4: Simplify right side
    258,763x = 320,131,903,204
  5. Step 5: Solve for x
    x = 320,131,903,204/258,763
  6. Step 6: Final answer
    x = 1,237,162.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.