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Finding the Third Proportional to 354,638 and 532,310

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Solution

The third proportional to 354,638 and 532,310 is: 798,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,638 : 532,310 = 532,310 : x
  2. Step 2: Convert to fraction form
    354,638/532,310 = 532,310/x
  3. Step 3: Cross multiply
    354,638x = 532,310 × 532,310
  4. Step 4: Simplify right side
    354,638x = 283,353,936,100
  5. Step 5: Solve for x
    x = 283,353,936,100/354,638
  6. Step 6: Final answer
    x = 798,994.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.