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Finding the Third Proportional to 435,381 and 659,634

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Solution

The third proportional to 435,381 and 659,634 is: 999,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,381 : 659,634 = 659,634 : x
  2. Step 2: Convert to fraction form
    435,381/659,634 = 659,634/x
  3. Step 3: Cross multiply
    435,381x = 659,634 × 659,634
  4. Step 4: Simplify right side
    435,381x = 435,117,013,956
  5. Step 5: Solve for x
    x = 435,117,013,956/435,381
  6. Step 6: Final answer
    x = 999,393.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.