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Finding the Third Proportional to 264,828.38 and 392,091.75

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Solution

The third proportional to 264,828.38 and 392,091.75 is: 580,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,828.38 : 392,091.75 = 392,091.75 : x
  2. Step 2: Convert to fraction form
    264,828.38/392,091.75 = 392,091.75/x
  3. Step 3: Cross multiply
    264,828.38x = 392,091.75 × 392,091.75
  4. Step 4: Simplify right side
    264,828.38x = 153,735,940,418.06
  5. Step 5: Solve for x
    x = 153,735,940,418.06/264,828.38
  6. Step 6: Final answer
    x = 580,511.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.