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Finding the Third Proportional to 264,814.50 and 579,144

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Solution

The third proportional to 264,814.50 and 579,144 is: 1,266,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,814.50 : 579,144 = 579,144 : x
  2. Step 2: Convert to fraction form
    264,814.50/579,144 = 579,144/x
  3. Step 3: Cross multiply
    264,814.50x = 579,144 × 579,144
  4. Step 4: Simplify right side
    264,814.50x = 335,407,772,736
  5. Step 5: Solve for x
    x = 335,407,772,736/264,814.50
  6. Step 6: Final answer
    x = 1,266,576.31

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