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Finding the Third Proportional to 431,391 and 925,233

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Solution

The third proportional to 431,391 and 925,233 is: 1,984,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,391 : 925,233 = 925,233 : x
  2. Step 2: Convert to fraction form
    431,391/925,233 = 925,233/x
  3. Step 3: Cross multiply
    431,391x = 925,233 × 925,233
  4. Step 4: Simplify right side
    431,391x = 856,056,104,289
  5. Step 5: Solve for x
    x = 856,056,104,289/431,391
  6. Step 6: Final answer
    x = 1,984,408.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.