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Finding the Third Proportional to 325,054 and 431,420

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Solution

The third proportional to 325,054 and 431,420 is: 572,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,054 : 431,420 = 431,420 : x
  2. Step 2: Convert to fraction form
    325,054/431,420 = 431,420/x
  3. Step 3: Cross multiply
    325,054x = 431,420 × 431,420
  4. Step 4: Simplify right side
    325,054x = 186,123,216,400
  5. Step 5: Solve for x
    x = 186,123,216,400/325,054
  6. Step 6: Final answer
    x = 572,591.68

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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.