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Finding the Third Proportional to 345,189 and 466,374

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Solution

The third proportional to 345,189 and 466,374 is: 630,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,189 : 466,374 = 466,374 : x
  2. Step 2: Convert to fraction form
    345,189/466,374 = 466,374/x
  3. Step 3: Cross multiply
    345,189x = 466,374 × 466,374
  4. Step 4: Simplify right side
    345,189x = 217,504,707,876
  5. Step 5: Solve for x
    x = 217,504,707,876/345,189
  6. Step 6: Final answer
    x = 630,103.24

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.