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Finding the Third Proportional to 325,084 and 431,353

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Solution

The third proportional to 325,084 and 431,353 is: 572,361.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,084 : 431,353 = 431,353 : x
  2. Step 2: Convert to fraction form
    325,084/431,353 = 431,353/x
  3. Step 3: Cross multiply
    325,084x = 431,353 × 431,353
  4. Step 4: Simplify right side
    325,084x = 186,065,410,609
  5. Step 5: Solve for x
    x = 186,065,410,609/325,084
  6. Step 6: Final answer
    x = 572,361.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.