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Finding the Third Proportional to 325,137 and 431,532

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Solution

The third proportional to 325,137 and 431,532 is: 572,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,137 : 431,532 = 431,532 : x
  2. Step 2: Convert to fraction form
    325,137/431,532 = 431,532/x
  3. Step 3: Cross multiply
    325,137x = 431,532 × 431,532
  4. Step 4: Simplify right side
    325,137x = 186,219,867,024
  5. Step 5: Solve for x
    x = 186,219,867,024/325,137
  6. Step 6: Final answer
    x = 572,742.77

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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.