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Finding the Third Proportional to 259,884 and 559,944

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Solution

The third proportional to 259,884 and 559,944 is: 1,206,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,884 : 559,944 = 559,944 : x
  2. Step 2: Convert to fraction form
    259,884/559,944 = 559,944/x
  3. Step 3: Cross multiply
    259,884x = 559,944 × 559,944
  4. Step 4: Simplify right side
    259,884x = 313,537,283,136
  5. Step 5: Solve for x
    x = 313,537,283,136/259,884
  6. Step 6: Final answer
    x = 1,206,450.89

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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.