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Finding the Third Proportional to 447,082.50 and 974,476.50

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Solution

The third proportional to 447,082.50 and 974,476.50 is: 2,124,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,082.50 : 974,476.50 = 974,476.50 : x
  2. Step 2: Convert to fraction form
    447,082.50/974,476.50 = 974,476.50/x
  3. Step 3: Cross multiply
    447,082.50x = 974,476.50 × 974,476.50
  4. Step 4: Simplify right side
    447,082.50x = 949,604,449,052.25
  5. Step 5: Solve for x
    x = 949,604,449,052.25/447,082.50
  6. Step 6: Final answer
    x = 2,124,002.73

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.