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Finding the Third Proportional to 264,822.75 and 588,489.75

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Solution

The third proportional to 264,822.75 and 588,489.75 is: 1,307,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,822.75 : 588,489.75 = 588,489.75 : x
  2. Step 2: Convert to fraction form
    264,822.75/588,489.75 = 588,489.75/x
  3. Step 3: Cross multiply
    264,822.75x = 588,489.75 × 588,489.75
  4. Step 4: Simplify right side
    264,822.75x = 346,320,185,855.06
  5. Step 5: Solve for x
    x = 346,320,185,855.06/264,822.75
  6. Step 6: Final answer
    x = 1,307,743.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.