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Finding the Third Proportional to 447,241.50 and 973,215

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Solution

The third proportional to 447,241.50 and 973,215 is: 2,117,753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,241.50 : 973,215 = 973,215 : x
  2. Step 2: Convert to fraction form
    447,241.50/973,215 = 973,215/x
  3. Step 3: Cross multiply
    447,241.50x = 973,215 × 973,215
  4. Step 4: Simplify right side
    447,241.50x = 947,147,436,225
  5. Step 5: Solve for x
    x = 947,147,436,225/447,241.50
  6. Step 6: Final answer
    x = 2,117,753.91

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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.