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Finding the Third Proportional to 306,021 and 447,286.50

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Solution

The third proportional to 306,021 and 447,286.50 is: 653,763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,021 : 447,286.50 = 447,286.50 : x
  2. Step 2: Convert to fraction form
    306,021/447,286.50 = 447,286.50/x
  3. Step 3: Cross multiply
    306,021x = 447,286.50 × 447,286.50
  4. Step 4: Simplify right side
    306,021x = 200,065,213,082.25
  5. Step 5: Solve for x
    x = 200,065,213,082.25/306,021
  6. Step 6: Final answer
    x = 653,763.02

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.