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Finding the Third Proportional to 447,898.50 and 974,529

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Solution

The third proportional to 447,898.50 and 974,529 is: 2,120,361.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,898.50 : 974,529 = 974,529 : x
  2. Step 2: Convert to fraction form
    447,898.50/974,529 = 974,529/x
  3. Step 3: Cross multiply
    447,898.50x = 974,529 × 974,529
  4. Step 4: Simplify right side
    447,898.50x = 949,706,771,841
  5. Step 5: Solve for x
    x = 949,706,771,841/447,898.50
  6. Step 6: Final answer
    x = 2,120,361.58

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Why These Related Problems?

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