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Finding the Third Proportional to 264,855 and 579,225

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Solution

The third proportional to 264,855 and 579,225 is: 1,266,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,855 : 579,225 = 579,225 : x
  2. Step 2: Convert to fraction form
    264,855/579,225 = 579,225/x
  3. Step 3: Cross multiply
    264,855x = 579,225 × 579,225
  4. Step 4: Simplify right side
    264,855x = 335,501,600,625
  5. Step 5: Solve for x
    x = 335,501,600,625/264,855
  6. Step 6: Final answer
    x = 1,266,736.90

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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.