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Finding the Third Proportional to 427,923 and 598,233

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Solution

The third proportional to 427,923 and 598,233 is: 836,325.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,923 : 598,233 = 598,233 : x
  2. Step 2: Convert to fraction form
    427,923/598,233 = 598,233/x
  3. Step 3: Cross multiply
    427,923x = 598,233 × 598,233
  4. Step 4: Simplify right side
    427,923x = 357,882,722,289
  5. Step 5: Solve for x
    x = 357,882,722,289/427,923
  6. Step 6: Final answer
    x = 836,325.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.