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Finding the Third Proportional to 345,204 and 466,392

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Solution

The third proportional to 345,204 and 466,392 is: 630,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,204 : 466,392 = 466,392 : x
  2. Step 2: Convert to fraction form
    345,204/466,392 = 466,392/x
  3. Step 3: Cross multiply
    345,204x = 466,392 × 466,392
  4. Step 4: Simplify right side
    345,204x = 217,521,497,664
  5. Step 5: Solve for x
    x = 217,521,497,664/345,204
  6. Step 6: Final answer
    x = 630,124.50

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