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Finding the Third Proportional to 264,800 and 392,055

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Solution

The third proportional to 264,800 and 392,055 is: 580,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,800 : 392,055 = 392,055 : x
  2. Step 2: Convert to fraction form
    264,800/392,055 = 392,055/x
  3. Step 3: Cross multiply
    264,800x = 392,055 × 392,055
  4. Step 4: Simplify right side
    264,800x = 153,707,123,025
  5. Step 5: Solve for x
    x = 153,707,123,025/264,800
  6. Step 6: Final answer
    x = 580,464.97

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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.