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Finding the Third Proportional to 426.38 and 929.38

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Solution

The third proportional to 426.38 and 929.38 is: 2,025.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.38 : 929.38 = 929.38 : x
  2. Step 2: Convert to fraction form
    426.38/929.38 = 929.38/x
  3. Step 3: Cross multiply
    426.38x = 929.38 × 929.38
  4. Step 4: Simplify right side
    426.38x = 863,737.89
  5. Step 5: Solve for x
    x = 863,737.89/426.38
  6. Step 6: Final answer
    x = 2,025.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.